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Linear codes and modular curves
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/mana.19821090103openalex-snapshot
Modular curves, Shimura curves, and Goppa codes, better than Varshamov‐Gilbert bound
inferredcites →https://doi.org/10.1007/bf01083182openalex-snapshot
Number of points of an algebraic curve
inferredcites →https://doi.org/10.1007/bf01083190openalex-snapshot
Invariants of analytic Z2-manifolds
inferredcites →https://doi.org/10.1070/rm1969v024n06abeh001361openalex-snapshot
FOUNDATIONS OF ALGEBRAIC GEOMETRY
inferredcites →https://doi.org/10.1090/s0002-9904-1973-13177-5openalex-snapshot
Book Review: Introduction to the Arithmetic Theory of Automorphic Functions
inferredcites →https://doi.org/10.1090/s0273-0979-1980-14751-5openalex-snapshot
The algebraist’s upper half-plane
inferredcites →https://doi.org/10.1109/tit.1984.1056879openalex-snapshot
Modular curves and codes with a polynomial construction
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Secant Spaces and Clifford's Theorem over Finite Fields
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Weierstrass Semigroups in an Asymptotically Good Tower of Function Fields
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Curves of Every Genus with Many Points, I: Abelian and Toric Families
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Invariants of Some Algebraic Curves Related to Drinfeld Modular Curves
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Coding Constructions for Blacklisting Problems without Computational Assumptions
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Energy functions associated with error-correcting codes
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Singular algebraic curves over finite fields
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Algebra, Arithmetic, and Geometry
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Efficient Reduction among Oblivious Transfer Protocols based on New Self-Intersecting Codes
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Polynomial-time construction of linear codes with almost equal weights
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Rational Desingularization of a Curve Defined Over a Finite Field
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Shimura curves and codes
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Everywhere Ramified Towers of Global Function Fields
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A Computability Challenge: Asymptotic Bounds for Error-Correcting Codes
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Codes on Drinfeld Modular Curves
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List Decoding of Error-Correcting Codes
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Multiplicative lattices in global fields
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On the embedding dimension of an affine variety
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A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
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Families of codes exceeding the Varshamov-Gilbert bound
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Elliptic formal groups over ℤ and F p in applications to number theory, computer science and topology
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Reed-Muller codes associated to projective algebraic varieties
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Maximal hypersurfaces of degree d in $${{\mathbb {P}}}^n({{\mathbb {F}}}_q)$$ and minimum weight spectrum of the generalized PRM(q, d, n)-code
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Minimum distance of relative Reed–Muller codes
inferred← citeshttps://doi.org/10.1007/s002290050162openalex-snapshot
A special integral basis for a plane model of the Drinfeld modular curve X 1(<𝔫) mod T
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Asymmetric Code-Theoretical Schemes Constructed with the Use of Algebraic Geometric Codes
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Asymptotically Good Codes from Generalized Algebraic-Geometry Codes
inferred← citeshttps://doi.org/10.1007/s10623-009-9354-3openalex-snapshot
AG codes from vector bundles
inferred← citeshttps://doi.org/10.1007/s10623-012-9738-7openalex-snapshot
Evaluation codes defined by finite families of plane valuations at infinity
inferred← citeshttps://doi.org/10.1007/s10623-025-01789-4openalex-snapshot
Hull parameters of Projective Reed–Muller codes
inferred← citeshttps://doi.org/10.1007/s11786-010-0031-8openalex-snapshot
Error-Correcting Codes and Phase Transitions
inferred← citeshttps://doi.org/10.1016/0012-365x(90)90155-bopenalex-snapshot
The parameters of projective Reed–Müller codes
inferred← citeshttps://doi.org/10.1016/0022-4049(91)90053-5openalex-snapshot
Hyperelliptic function fields and codes
inferred← citeshttps://doi.org/10.1016/0166-218x(91)90120-lopenalex-snapshot
Algebraic-geometric codes and asymptotic problems
inferred← citeshttps://doi.org/10.1016/0885-064x(88)90012-xopenalex-snapshot
Algebraic complexities and algebraic curves over finite fields
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10.1016/b978-044488002-4/50015-4
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Special numbers of rational points on hypersurfaces in the n -dimensional projective space over a finite field
inferred← citeshttps://doi.org/10.1016/j.ffa.2006.07.001openalex-snapshot
Codes defined by forms of degree 2 on Hermitian surfaces and Sørensen's conjecture
inferred← citeshttps://doi.org/10.1016/j.ffa.2011.02.007openalex-snapshot
Construction of rational surfaces yielding good codes
inferred← citeshttps://doi.org/10.1016/j.ffa.2012.04.004openalex-snapshot
Parameters of AG codes from vector bundles
inferred← citeshttps://doi.org/10.1016/j.ffa.2020.101791openalex-snapshot
Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2011.09.030openalex-snapshot
The dual minimum distance of arbitrary-dimensional algebraic–geometric codes
inferred← citeshttps://doi.org/10.1016/j.jnt.2010.10.006openalex-snapshot
The Galois closure of Drinfeld modular towers
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Sums of residues on algebraic surfaces and application to coding theory
inferred← citeshttps://doi.org/10.1016/j.jsc.2015.03.003openalex-snapshot
On the small-weight codewords of some Hermitian codes
inferred← citeshttps://doi.org/10.1016/s0022-4049(02)00188-3openalex-snapshot
Codes from flag varieties over a finite field
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An Extension of Delsarte, Goethals and Mac Williams Theorem on Minimal Weight Codewords to a Class of Reed-Muller Type Codes
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Book Review: Algebraic curves over finite fields
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Polynomial-time construction of codes .II. spherical codes and the kissing number of spheres
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Algebraic function fields over finite fields with many rational places
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On the decoding of algebraic-geometric codes
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Effective construction of algebraic geometry codes
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On several new projective curves over F/sub 2/ of genus 3, 4, and 5
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Improved geometric Goppa codes. I. Basic theory
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Oblivious transfers and intersecting codes
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An explicit construction of a sequence of codes attaining the Tsfasman-Vladut-Zink bound. The first steps
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On algebraic geometric codes from singular projective curves over GF(2/sup m/)
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Improved geometric Goppa codes
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Goppa geometric codes achieving the Gilbert-Varshamov bound
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Asymptotically Good Nonlinear Codes From Algebraic Curves
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More Goppa Geometric Codes Achieving the Gilbert-Varshamov Bound
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Algorithmic complexity in coding theory and the minimum distance problem
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List decoding algorithms for certain concatenated codes
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The number of rational points on Drinfeld modular varieties over finite fields
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Good towers of function fields
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Modular varieties of 𝒟-elliptic sheaves and the Weil-Deligne bound
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On rational points of curves of genus $3$ over finite fields
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On $d$-gonality of Drinfel'd modular curves and strong Uniform Boundedness Conjecture
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On the minimum distance, minimum weight codewords, and the dimension of projective Reed-Muller codes
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Kolmogorov complexity and the asymptotic bound for error-correcting codes
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Modular curves of $\cD$-elliptic sheaves are asymptotically optimal
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Modular varieties of D-elliptic sheaves and the Weil-Deligne bound
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Sums of residues on algebraic surfaces and application to coding theory
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A computability challenge: asymptotic bounds and isolated error-correcting codes
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Explicit equations for Drinfeld modular towers
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Curves of every genus with many points, I: Abelian and toric families
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Differential approach for the study of duals of algebraic-geometric codes on surfaces
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Algebraic geometry codes from surfaces over finite fields
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