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Bit Serial Multiplication in Finite Fields

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4613-1983-2openalex-snapshot
Finite Fields for Computer Scientists and Engineers
inferredcites →https://doi.org/10.1016/0166-218x(88)90090-xopenalex-snapshot
Optimal normal bases in GF(pn)
inferredcites →https://doi.org/10.1016/s0924-6509(08)x7030-8openalex-snapshot
The Theory of Error-Correcting Codes
inferredcites →https://doi.org/10.1109/tit.1982.1056591openalex-snapshot
Bit-serial Reed - Solomon encoders

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Unidirectional Two Dimensional Systolic Array for Multiplication in GF(2 m ) Using LSB First Algorithm
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Efficient Linear Array for Multiplication over NIST Recommended Binary Fields
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New Architecture for Multiplication in GF(2 m ) and Comparisons with Normal and Polynomial Basis Multipliers for Elliptic Curve Cryptography
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Low Complexity Bit Serial Systolic Multipliers over GF(2m) for Three Classes of Finite Fields
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Montgomery Multiplier and Squarer in GF(2m)
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Efficient Bit Serial Multiplication Using Optimal Normal Bases of Type II in GF(2m)
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Efficient Finite Field Basis Conversion Involving dual bases
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Introduction to Finite Fields and Bases
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Pipeline Design of Bit-Parallel Gaussian Normal Basis Multiplier over GF(2m)
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Problems on Gaussian Normal Basis Multiplication for Elliptic Curve Cryptosystem
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Efficient Bit Serial Multiplication in GF(2 m ) for a Class of Finite Fields
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Self-dual bases in $$\mathbb{F}_{q^n } $$
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Efficient Software-Implementation of Finite Fields with Applications to Cryptography
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Efficient Hardware Implementation of Finite Fields with Applications to Cryptography
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On explicit factors of cyclotomic polynomials over finite fields
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Composed products and factors of cyclotomic polynomials over finite fields
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Low-Complexity Bit-Parallel Multiplier over GF(2m) Using Dual Basis Representation
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Unified Parallel Systolic Multiplier Over ${\it GF}(2^{m})$
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Sequential multiplier with sub-linear gate complexity
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Low-complexity bit-parallel dual basis multipliers using the modified Booth’s algorithm
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More efficient systolic arrays for multiplication in GF() using LSB first algorithm with irreducible polynomials and trinomials
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A new characterization of dual bases in finite fields and its applications
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Linear sets on the projective line with complementary weights
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On coefficients of polynomials over finite fields
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A survey of some recent bit-parallel GF(2n) multipliers
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On-Line Error Detection for Bit-Serial Multipliers in GF(2m)
inferred← citeshttps://doi.org/10.1049/iet-cds.2009.0243openalex-snapshot
Concurrent error detection in semi-systolic dual basis multiplier over GF(2 m ) using self-checking alternating logic
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Concurrent error detection and correction in dual basis multiplier over GF(2 m )
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Non-XOR approach for low-cost bit-parallel polynomial basis multiplier over GF(2 m )
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Self-checking alternating logic bit-parallel Gaussian normal basis multiplier with type- t
inferred← citeshttps://doi.org/10.1049/iet-ifs.2011.0190openalex-snapshot
Fault-tolerant Gaussian normal basis multiplier over GF(2 m )
inferred← citeshttps://doi.org/10.1049/iet-ifs.2012.0110openalex-snapshot
Low-complexity Gaussian normal basis multiplier over GF(2 m )
inferred← citeshttps://doi.org/10.1049/iet-ifs.2012.0200openalex-snapshot
Palindromic-like representation for Gaussian normal basis multiplier over GF(2 m ) with odd type t
inferred← citeshttps://doi.org/10.1049/iet-ifs.2012.0227openalex-snapshot
Low space‐complexity digit‐serial dual basis systolic multiplier over Galois field GF(2 m ) using Hankel matrix and Karatsuba algorithm
inferred← citeshttps://doi.org/10.1049/iet-ifs.2015.0336openalex-snapshot
Low‐latency digit‐serial dual basis multiplier for lightweight cryptosystems
inferred← citeshttps://doi.org/10.1049/ip-cdt:19982349openalex-snapshot
GF(2m) multiplication over triangular basis for design of Reed-Solomon codes
inferred← citeshttps://doi.org/10.1049/ip-e.1992.0036openalex-snapshot
Division and bit-serial multiplication over GF(qm)
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Low-complexity digit-serial systolic Gaussian normal basis multiplier for curve-based cryptosystems
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New Hardware Architecture for Multiplication over GF(2m) and Comparisons with Normal and Polynomial Basis Multipliers for Elliptic Curve Cryptography
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Architecture for a low complexity rate-adaptive Reed-Solomon encoder
inferred← citeshttps://doi.org/10.1109/12.485570openalex-snapshot
GF(2/sup m/) multiplication and division over the dual basis
inferred← citeshttps://doi.org/10.1109/12.713315openalex-snapshot
Double-basis multiplicative inversion over GF(2/sup m/)
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New low-complexity bit-parallel finite field multipliers using weakly dual bases
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On bit-serial multiplication and dual bases in GF(2/sup m/)
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A note on repeated-root cyclic codes
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Efficient architectures for computations over variable dimensional Galois fields
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GF(p/sup m/) multiplication using polynomial residue number systems
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Efficient exponentiation using weakly dual basis
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Low-complexity systolic multiplier over GF(2/sup m/) using weakly dual basis
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A low complexity and a low latency bit parallel systolic multiplier over GF(2/sup m/) using an optimal normal basis of type II
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Fast Optimal Normal Basis Multiplier with Type-2kw Over GF (2m)
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Double-basis inversion in GF(2/sup m/)
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Division-and-accumulation in GF(2/sup m/)
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Efficient Multiplier and FPGA Implementation for NTRU Prime
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On-line error detection for finite field multipliers
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Multiplication using the triangular basis representation over GF(2/sup m/)
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Novel Mastrovito Multiplier over GF(2m) Using Trinomial
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Efficient bit-serial finite field montgomery multiplier in GF(2m)
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A systolic multiplier with LSB first algorithm over GF(2/sup m/) which is as efficient as the one with MSB first algorithm
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Division And Bit-serial Multiplication Over GF(q/sup m/)
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Montgomery multiplier and squarer for a class of finite fields
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Equally spaced polynomials, dual bases, and multiplication in F(2/sup n/)
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Bit-parallel finite field multiplier and squarer using polynomial basis
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Concurrent Error Detection and Correction in Gaussian Normal Basis Multiplier over GF(2^m)
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Concurrent Error Detection in Finite-Field Arithmetic Operations Using Pipelined and Systolic Architectures
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Low complexity parallel multiplier in F(q/sup n/) over F/sub q/
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Dual-Basis Superserial Multipliers for Secure Applications and Lightweight Cryptographic Architectures
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Efficient Scalable Serial Multiplier Over GF( $\textbf {2}^{\boldsymbol {m}}$ ) Based on Trinomial
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Cryptography
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Low-Power and Low-Hardware Bit-Parallel Polynomial Basis Systolic Multiplier over GF(2 m ) for Irreducible Polynomials
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Composed Products and Explicit Factors of Cyclotomic Polynomials over Finite Fields
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