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Linear recurring sequences over rings and modules
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Algebraic Coding Theory
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The Shortest Feedback Shift Register That Can Generate A Given Sequence
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Multiplexed Sequences: Some Properties of the Minimum Polynomial
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On the Linear Complexity of Combined Shift Register Sequences
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Lower Bounds for the Linear Complexity of Sequences over Residue Rings
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On the Linear Span of Binary Sequences Obtained from Finite Geometries
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Synthesis of two-dimensional linear feedback shift registers and Groebner bases
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Substitution of characters in q-ary m-sequences
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Linear complexity of transformed sequences
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Finite Fields for Computer Scientists and Engineers
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Shift-Register Synthesis (Modulo m)
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Trigonometric Sums and Their Applications
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Vorlesungen über Zahlentheorie
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Vorlesungen über Zahlentheorie
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Basic Structures of Modern Algebra
inferredcites →https://doi.org/10.1007/bf01158653openalex-snapshot
Trigonometric sums for recursive sequences of elements in a finite field
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Singular shift registers over residue class rings
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Difference operators and periodic sequences over finite modules
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The hopf algebra of linearly recursive sequences
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A relationship between the Berlekamp-Massey and the euclidean algorithms for linear feedback shift register synthesis
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Matrix generators for pseudo-random vector generation
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Continued fractions and the Berlekamp-Massey algorithm
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Products of linear recurring sequences
inferredcites →https://doi.org/10.1016/0021-8693(92)90011-aopenalex-snapshot
On a convolution of linear recurring sequences over finite fields
inferredcites →https://doi.org/10.1016/0022-247x(86)90023-5openalex-snapshot
G-R-sequences and incidence coalgebras of posets of full binomial type
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Representation theory of finite groups and associative algebras
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Extension of the Berlekamp-Massey algorithm to N dimensions
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On the synthesis of two-dimensional arrays with desirable correlation properties
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A class of low-rate nonlinear binary codes
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Finding a minimal set of linear recurring relations capable of generating a given finite two-dimensional array
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Cubic Forms - Algebra, Geometry, Arithmetic
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Periodicity Properties of Recurring Sequences. I
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Linear recursive sequences over Galois rings
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Systems of linear equations over a commutative ring
inferredcites →https://doi.org/10.1070/rm1993v048n03abeh001044openalex-snapshot
Lower estimates for the ranks of coordinate sequences of linear recurrent sequences over primary residue rings of integers
inferredcites →https://doi.org/10.1070/rm1993v048n03abeh001047openalex-snapshot
Linear recurrent sequences over quasi-Frobenius modules
inferredcites →https://doi.org/10.1070/rm1993v048n05abeh001072openalex-snapshot
On the frequency distribution of multigrams in linear recurrent sequences over a residue-class ring
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Structure of the Hopf algebras of linear recurrent sequences
inferredcites →https://doi.org/10.1070/sm1973v020n03abeh001880openalex-snapshot
FINITE PRINCIPAL IDEAL RINGS
inferredcites →https://doi.org/10.1070/sm1994v078n02abeh003470openalex-snapshot
CYCLE TYPES OF LINEAR SUBSTITUTIONS OVER FINITE COMMUTATIVE RINGS
inferredcites →https://doi.org/10.1073/pnas.16.10.663openalex-snapshot
PERIODICITY IN SEQUENCES DEFINED BY LINEAR RECURRENCE RELATIONS
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Linear Recurrence Relations
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A Generalized Fibonacci Sequence Over an Arbitrary Ring
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On Moduli for which the Fibonacci Sequence Contains a Complete System of Residues
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The Rank and Period of a Linear Recurrent Sequence Over a Ring
inferredcites →https://doi.org/10.1080/00150517.1976.12430572openalex-snapshot
Recursion Relations of Products of Linear Recursion Sequences
inferredcites →https://doi.org/10.1080/00927879108824290openalex-snapshot
On the continuous dual of a polynomial bialgebra
inferredcites →https://doi.org/10.1090/conm/184/02120openalex-snapshot
Linear recurrent sequences over Galois rings
inferredcites →https://doi.org/10.1090/s0002-9947-1931-1501585-5openalex-snapshot
On Sequences Defined by Linear Recurrence Relations
inferredcites →https://doi.org/10.1090/s0002-9947-1933-1501705-4openalex-snapshot
The Arithmetical Theory of Linear Recurring Series
inferredcites →https://doi.org/10.1090/s0002-9947-1938-1501967-8openalex-snapshot
An Isomorphism Between Linear Recurring Sequences and Algebraic Rings
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On the Period Length of Pseudorandom Vector Sequences Generated by Matrix Generators
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The Algebraic Theory of Semigroups, Volume II
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Complex sequences over GF(p/sup M/) with a two-level autocorrelation function and a large linear span
inferredcites →https://doi.org/10.1109/18.133246openalex-snapshot
A generalization of the Berlekamp-Massey algorithm for multisequence shift-register synthesis with applications to decoding cyclic codes
inferredcites →https://doi.org/10.1109/18.42178openalex-snapshot
On the linear complexity of functions of periodic GF(q) sequences
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Cycle representatives of quasi-irreducible two-dimensional cyclic codes
inferredcites →https://doi.org/10.1109/proc.1976.10411openalex-snapshot
Pseudo-random sequences and arrays
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Shift-register synthesis and BCH decoding
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A theory of two-dimensional linear recurring arrays
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General theory of doubly periodic arrays over an arbitrary finite field and its applications
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On determining the independent point set for doubly periodic arrays and encoding two-dimensional cyclic codes and their duals
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A simple derivation of the Berlekamp- Massey algorithm and some applications (Corresp.)
inferredcites →https://doi.org/10.1109/tit.1987.1057268openalex-snapshot
Products of linear recurring sequences with maximum complexity
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Some Periodicity Properties of Transformations on Vector Spaces Over Residue Class Rings
inferredcites →https://doi.org/10.1137/0114022openalex-snapshot
Some Periodicity Properties of Modules over the Ring of Polynomials with Coefficients in a Residue Class Rring
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Empirical Tests of an Additive Random Number Generator
inferredcites →https://doi.org/10.1147/rd.203.0204openalex-snapshot
Analysis of the Berlekamp-Massey Linear Feedback Shift-Register Synthesis Algorithm
inferredcites →https://doi.org/10.1515/dma.1992.2.6.659openalex-snapshot
Linear recurrence sequences over commutative rings
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Representations over Z p n of linear recurring sequence of maximal period over GF( p )
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The first coordinate sequence of a linear recurrence of maximal period over a Galois ring
inferredcites →https://doi.org/10.1515/dma.1995.5.1.59openalex-snapshot
Representations of linear recurring sequences of maximal period over finite fields
inferredcites →https://doi.org/10.2307/1968724openalex-snapshot
Arithmetical Properties of Sequences in Rings
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Representation Theory of Finite Groups and Associative Algebras.
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A Note on Linear Recurrent Sequences Modulo m
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Theorie des Fonctions Numeriques Simplement Periodiques
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A Duality Theory for Injective Modules. (Theory of Quasi-Frobenius Modules)
inferredcites →https://doi.org/10.2307/3617835openalex-snapshot
Linear Recurrences and Maximal Length Sequences
inferredcites →https://doi.org/10.24033/bsmf.2189openalex-snapshot
Propriétés algébriques de suites différentiellement finies
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Equidistribution of linear recurring sequences in finite fields, II
inferredcites →https://doi.org/10.4064/aa-39-4-303-311openalex-snapshot
Period of a linear recurrence
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Basic structures of modern algebra
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Linear Recurring Sequences over Finite Fields.
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Periodicity of Recurring Sequences in Rings.
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On the cycle structure of linear recurring sequences.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Construction of the Annihilator of a Linear Recurring Sequence over Finite Module with the help of the Berlekamp-Massey Algorithm
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Polylinear Recurring Sequences over a Bimodule
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Polylinear Shift Registers and Standard Bases
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Linear and Polylinear Recurring Sequences over Abelian Groups and Modules
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Generators and weights of polynomial codes
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An iterative algorithm for parametrization of shortest length linear shift registers over finite chain rings
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Hopf Algebras of Linear Recurring Sequences over Rings and Modules
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Full Periodicity of Galois Polynomials over Nontrivial Galois Rings of Odd Characteristic
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Standard bases concordant with the norm and computations in ideals and polylinear recurring sequences
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Skew linear recurring sequences of maximal period over galois rings
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Improved Bounds for the Number of Occurrences of Elements in Linear Recurrence Sequences Over Galois Rings
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Symmetry breaking in solitary solutions to the Hodgkin–Huxley model
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Clocking convergence of the fractional difference logistic map
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Graph structure of an inversive pseudorandom number generator over ring $${\mathbb {Z}}_{p^{e}}$$
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On s-uniform property of compressing sequences derived from primitive sequences modulo odd prime powers
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Injectivity of compressing maps on the set of primitive sequences modulo square-free odd integers
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On the distinctness of primitive sequences over Z/(p e q) modulo 2
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Injectivity on distribution of elements in the compressed sequences derived from primitive sequences over ℤ p e $\mathbb {Z}_{p^{e}}$
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Weighted moving averaging revisited: an algebraic approach
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Weak and strong orders of linear recurring sequences
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Bernstein polynomials for adaptive evolutionary prediction of short-term time series
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Uniqueness of the distribution of zeroes of primitive level sequences over Z/(pe)
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Uniqueness of the distribution of zeroes of primitive level sequences over Z/(pe) (II)
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Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over F4
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Short-term time series algebraic forecasting with mixed smoothing
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Dual coalgebras of algebras over commutative rings
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Complete weight enumerators of generalized Kerdock code and related linear codes over Galois ring
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Finite Rings with Applications
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Algebraic Shift Register Sequences
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Hopf Algebra Dual to a Polynomial Algebra over a Commutative Ring
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Stabilization of unstable trajectories in discrete and continuous fractional order dynamical systems
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Frequency characteristics of coordinate sequences of linear recurrences over Galois rings
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Trace representation of linear recurring sequences
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Periodic functions on a free semigroup
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Frequency characteristics of linear recurrence sequences over Galois rings
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Cyclic Generalized Galois Rings
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Systèmes récursifs et algèbre de hadamard de suites récurrentes linéaires sur des anneaux commutatifs.
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Semiconjugate factorizations of higher order linear difference equations in rings
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QUASI-FROBENIUS BIMODULES OF FUNCTIONS ON A SEMIGROUP
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On the distinctness of modular reductions of maximal length sequences modulo odd prime powers
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Existence of second order solitary solutions to Riccati differential equations coupled with a multiplicative term
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Generalized Frobenius extensions of finite rings and trace functions
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Compression Mappings on Primitive Sequences Over $Z/(p^e)$
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Injectivity of Compressing Maps on Primitive Sequences Over ${\BBZ}/(p^{e})$
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Further Result of Compressing Maps on Primitive Sequences Modulo Odd Prime Powers
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Distribution Properties of Compressing Sequences Derived From Primitive Sequences Over $\BBZ /(p^{e})$
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Further Result on Distribution Properties of Compressing Sequences Derived From Primitive Sequences Over ${\bf Z}/(p^{e})$
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Distribution Properties of Compressing Sequences Derived From Primitive Sequences Modulo Odd Prime Powers
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Prediction of approaching trains based on H‐ranks of track vibration signals
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Occurrence indices of elements in linear recurrence sequences over primary residue rings
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A class of injective compressing maps on linear recurring sequences over a Galois ring
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Distribution of r-tuples in one class of uniformly distributed sequences over residue rings
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Equidistributed sequences over finite fields produced by one class of linear recurring sequences over residue rings
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A triangular class of skew maximum-period polynomials
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Control of Divergence in an Extended Invertible Logistic Map
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Finite-Time Stabilization of the Fractional Model of the Driven Dissipative Nonlinear Pendulum
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How Does the Fractional Derivative Change the Complexity of the Caputo Standard Fractional Map
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COORDINATE SETS OF GENERALIZED GALOIS RINGS
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LINEAR RECURRING SEQUENCES OVER NONCOMMUTATIVE RINGS
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THE ORDER OF A 2-SEQUENCE AND THE COMPLEXITY OF DIGITAL IMAGES
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Construction of Somme Quasi-Cyclic Codes Over a Finite Rings
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On linear difference equations over rings and modules
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Further results on the compression maps of primitive sequences over Z=(pe)
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Solving systems of polynomial equations over Galois–Eisenstein rings with the use of the canonical generating systems of polynomial ideals
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Hopf algebras of linear recurring sequences
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Necessary conditions for power commuting in finite-dimensional algebras over a field
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Artinian bimodule with quasi-Frobenius bimodule of translations
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Bounds on the frequencies of tuples on parts of the period of linear recurring sequences over Galois rings
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Bounds on the discrepancy of linear recurring sequences over Galois rings
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Periodic properties of a simplest 2-linear shift register
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An algorithm to restore a linear recurring sequence over the ring R = Z pn from a linear complication of its highest coordinate sequence
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Reconstruction of a linear recurrence of maximal period over a Galois ring from its highest coordinate sequence
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An extended Prony’s interpolation scheme on an equispaced grid
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Discrete logarithm problem in finite dimensional algebras over field
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Tensor Products and Quotient Rings which are Finite Commutative Principal Ideal Rings
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Finite-Time Stabilization of Unstable Orbits in the Fractional Difference Logistic Map
inferred← citeshttps://doi.org/10.3390/math9121372openalex-snapshot
An Operator-Based Scheme for the Numerical Integration of FDEs
inferred← citeshttps://doi.org/10.3934/math.20221568openalex-snapshot
The step-wise construction of solitary solutions to Riccati equations with diffusive coupling
inferred← citeshttps://doi.org/10.4213/dm1122openalex-snapshot
Алгоритм восстановления ЛРП над кольцом $R=\mathbf Z_{p^n}$ по линейному усложнению ее старшей координатной последовательности
inferred← citeshttps://doi.org/10.4213/dm1137openalex-snapshot
Восстановление линейной рекурренты максимального периода над кольцом Галуа по ее старшей координатной последовательности
inferred← citeshttps://doi.org/10.4213/dm1167openalex-snapshot
Алгоритм построения аннулятора полилинейной рекуррентной последовательности над конечным коммутативным кольцом
inferred← citeshttps://doi.org/10.4213/dm1181openalex-snapshot
Функция переноса в первый разряд в кольце Галуа
inferred← citeshttps://doi.org/10.4213/dm1404openalex-snapshot
О периодических свойствах полилинейных регистров сдвига
inferred← citeshttps://doi.org/10.4213/dm141openalex-snapshot
Решение системы полиномиальных уравнений над кольцом Галуа - Эйзенштейна с помощью канонической системы образующих полиномиального идеала
inferred← citeshttps://doi.org/10.4213/dm1442openalex-snapshot
Необходимые условия перестановочности степеней в конечномерных алгебрах над полем
inferred← citeshttps://doi.org/10.4213/dm150openalex-snapshot
Алгебры Хопфа линейных рекуррентных последовательностей
inferred← citeshttps://doi.org/10.4213/dm1568openalex-snapshot
Оценки частот наборов элементов на отрезках линейных рекуррентных последовательностей над кольцами Галуа
inferred← citeshttps://doi.org/10.4213/dm1569openalex-snapshot
Оценки отклонения линейных рекуррентных последовательностей над кольцами Галуа
inferred← citeshttps://doi.org/10.4213/dm1850openalex-snapshot
Класс дискретных функций, построенных по нескольким линейным рекуррентам над примарным кольцом вычетов
inferred← citeshttps://doi.org/10.4213/dm229openalex-snapshot
Унитарные полилинейные регистры сдвига и их периоды
inferred← citeshttps://doi.org/10.4213/dm272openalex-snapshot
Дуги в проективных ельмслевовых плоскостях
inferred← citeshttps://doi.org/10.4213/dm274openalex-snapshot
Линейная сложность полилинейных последовательностей
inferred← citeshttps://doi.org/10.4213/dm307openalex-snapshot
Каноническая система образующих унитарного полиномиального идеала над коммутативным артиновым цепным кольцом
inferred← citeshttps://doi.org/10.4213/dm342openalex-snapshot
Полиномиальные преобразования линейных рекуррентных последовательностей над конечными коммутативными кольцами
inferred← citeshttps://doi.org/10.4213/dm965openalex-snapshot
Периодические свойства простейшего 2-линейного регистра сдвига
inferred← citeshttps://doi.org/10.4213/im7799openalex-snapshot
Частотные характеристики разрядных последовательностей линейных рекуррент над кольцами Галуа
inferred← citeshttps://doi.org/10.4213/mvk106openalex-snapshot
Использование $2$-линейного регистра сдвига для выработки псевдослучайных последовательностей
inferred← citeshttps://doi.org/10.4213/mvk109openalex-snapshot
Цикловые типы семейств полилинейных рекуррент и датчики псевдослучайных чисел
inferred← citeshttps://doi.org/10.4213/mvk114openalex-snapshot
Восстановление линейной рекурренты максимального периода над кольцом Галуа характеристики $p^3$ по последовательности старших разрядов
inferred← citeshttps://doi.org/10.4213/mvk117openalex-snapshot
Описание скрученных линейных рекуррент максимального периода в терминах мультипликаторов
inferred← citeshttps://doi.org/10.4213/mvk133openalex-snapshot
Построение новых классов фильтрующих генераторов, не имеющих эквивалентных состояний
inferred← citeshttps://doi.org/10.4213/mvk141openalex-snapshot
Digit sequences of skew linear recurrences of maximal period over Galois rings
inferred← citeshttps://doi.org/10.4213/mvk192openalex-snapshot
The first digit sequence of skew linear recurrence of maximal period over Galois ring
inferred← citeshttps://doi.org/10.4213/mvk224openalex-snapshot
Non-commutative Hamilton-Cayley theorem and roots of characteristic polynomials of skew maximal period linear recurrences over Galois rings
inferred← citeshttps://doi.org/10.4213/mvk268openalex-snapshot
Параметры одного класса функций, заданных на конечном поле
inferred← citeshttps://doi.org/10.4213/mvk307openalex-snapshot
О существовании неотрицательных базисов в подгруппах свободных групп шрейеровых многообразий
inferred← citeshttps://doi.org/10.4213/mvk314openalex-snapshot
Коэффициенты кросс-корреляции разрядных последовательностей равномерных линейных рекуррент над примарным кольцом вычетов
inferred← citeshttps://doi.org/10.4213/mvk32openalex-snapshot
Восстановление линейной рекурренты над примарным кольцом вычетов по ее усложнению. II
inferred← citeshttps://doi.org/10.4213/mvk34openalex-snapshot
Параллельная декомпозиция неавтономных 2-линейных регистров сдвига
inferred← citeshttps://doi.org/10.4213/mvk380openalex-snapshot
Свойства распределений элементов в одном классе последовательностей над кольцами Галуа
inferred← citeshttps://doi.org/10.4213/mvk423openalex-snapshot
Распределение мультиграмм в сумме линейной рекуррентной и счетчиковой последовательностей над кольцом Галуа
inferred← citeshttps://doi.org/10.4213/mvk456openalex-snapshot
Кросс-корреляционная функция представлений одного класса последовательностей над кольцами Галуа
inferred← citeshttps://doi.org/10.4213/mvk510openalex-snapshot
О развитии научных направлений, предложенных А. А. Нечаевым
inferred← citeshttps://doi.org/10.4213/mvk53openalex-snapshot
$2$-линейный регистр сдвига над кольцом Галуа четной характеристики
inferred← citeshttps://doi.org/10.4213/mvk83openalex-snapshot
Скошенные ЛРП максимального периода над кольцами Галуа
inferred← citeshttps://doi.org/10.4213/mvk9openalex-snapshot
Восстановление линейной рекурренты над примарным кольцом вычетов по ее усложнению
inferred← citeshttps://doi.org/10.4213/mzm376openalex-snapshot
Алгебра Хопфа, дуальная к алгебре многочленов над коммутативным кольцом
inferred← citeshttps://doi.org/10.4213/rm472openalex-snapshot
Представление функцией след линейных рекуррент над кольцами и модулями
inferred← citeshttps://doi.org/10.4213/rm537openalex-snapshot
Циклические семейства полилинейных рекуррент над квазифробениусовыми модулями
inferred← citeshttps://doi.org/10.4213/rm575openalex-snapshot
Квазифробениусовы бимодули функций на полугруппе
inferred← citeshttps://doi.org/10.4213/sm1113openalex-snapshot
Периодические функции на свободной полугруппе
inferred← citeshttps://doi.org/10.4213/sm4528openalex-snapshot
Частотные характеристики линейных рекуррентных последовательностей над кольцами Галуа
inferred← citeshttps://doi.org/10.4213/sm663openalex-snapshot
Представление линейных рекуррентных последовательностей функцией след
inferred← citeshttps://doi.org/10.4310/22-sii735openalex-snapshot
Hankel low-rank approximation and completion in time series analysis and forecasting: a brief review
inferred← citeshttps://doi.org/10.48550/arxiv.1401.4980openalex-snapshot
Shaped extensions of singular spectrum analysis
inferred← citeshttps://doi.org/10.48550/arxiv.1401.5874openalex-snapshot
Distribution properties of compressing sequences derived from primitive sequences modulo odd prime powers
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