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Arithmetic operations in GF(2m)

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

inferredcites →https://doi.org/10.1007/bf00196789openalex-snapshot
An implementation for a fast public-key cryptosystem
inferredcites →https://doi.org/10.1016/0890-5401(88)90024-7openalex-snapshot
A fast algorithm for computing multiplicative inverses in GF(2m) using normal bases
inferredcites →https://doi.org/10.1090/s0002-9947-1933-1501703-0openalex-snapshot
On a Special Class of Polynomials
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0866111-3openalex-snapshot
Primitive Normal Bases for Finite Fields
inferredcites →https://doi.org/10.1109/cicc.1989.56740openalex-snapshot
A high speed data encryption processor for public key cryptography
inferredcites →https://doi.org/10.1109/tit.1976.1055638openalex-snapshot
New directions in cryptography

What points at this work

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

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Error Detection in Polynomial Basis Multipliers over Binary Extension Fields
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On the Development of a Fast Elliptic Curve Cryptosystem
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Elliptic Curve Scalar Multiplier Design Using FPGAs
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Highly Regular Architectures for Finite Field Computation Using Redundant Basis
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Low Complexity Bit-Parallel Finite Field Arithmetic Using Polynomial Basis
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Development of Fast Multiplier Structures with Cryptographic Applications
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Elliptic Curve Cryptosystems
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Reducing the Complexity of Normal Basis Multiplication
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Elliptic curve cryptosystems and their implementation
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On primitive and free roots in a finite field
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Efficient algorithms for elliptic curve cryptosystems
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Guest Editorial: Special Issue in Honor of Scott A. Vanstone
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Complexity of computation in finite fields
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High-speed hardware implementations of Elliptic Curve Cryptography: A survey
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Hardware architectures for public key cryptography
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Massey-Omura type adder for elements of finitefields GF (2 m ) in logarithmic representation
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Primitive Normal Polynomials Over Finite Fields
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A new representation of elements of finite fields GF(2/sup m/) yielding small complexity arithmetic circuits
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Low power design of a word-level finite field multiplier using Reordered Normal Basis
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Hardware architectures for inversion in GF(2m) using polynomial and gaussian normal basis
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An implementation of ElGamal elliptic curves cryptosystems
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Design and implementation of arithmetic processor F/sub 2//sup 155/ for elliptic curve cryptosystems
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Fast software exponentiation in GF(2/sup k/)
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Improved VLSI designs for multiplication and inversion in GF(2/sup M/) over normal bases
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A high speed data encryption processor for public key cryptography
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Concurrent error detection of polynomial basis multiplication over extension fields using a multiple-bit parity scheme
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Easily Testable Implementation for Bit Parallel Multipliers in GF (2m)
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High speed bit-parallel systolic multiplier over GF (2m) for cryptographic application
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Efficient bit-parallel systolic multiplier over GF (2m)
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An architecture of F(2/sup 2N/) multiplier for elliptic curves cryptosystem
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A new algorithm for double scalar multiplication over Koblitz curves
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A new construction of Massey-Omura parallel multiplier over GF(2/sup m/)
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Finite field multiplier using redundant representation
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Low complexity bit parallel architectures for polynomial basis multiplication over GF(2m)
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Fault Detection Architectures for Field Multiplication Using Polynomial Bases
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A Novel Architecture for Galois Fields GF(2^m) Multipliers Based on Mastrovito Scheme
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Effects of Instruction-Set Extensions on an Embedded Processor: A Case Study on Elliptic Curve Cryptography over GF(2/sup m/)
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Derivation of Reduced Test Vectors for Bit-Parallel Multipliers over GF(2^m)
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New Multiplicative Inverse Architectures Using Gaussian Normal Basis
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On Concurrent Detection of Errors in Polynomial Basis Multiplication
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HRM: M-Term Heterogeneous Hybrid Blend Recursive Multiplier for GF(2 n ) Polynomial
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Constant Function Independent Test Set for Fault Detection in Bit Parallel Multipliers in GF(2^m)
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Transition Fault Testability in Bit Parallel Multipliers over GF(2^{m})
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Hardware implementation and performance comparison of normal basis multiplication methods over GF (2m)
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Some Observations on Parallel Algorithms for Fast Exponentiation in $\operatorname{GF}(2^n)$
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C-testable bit parallel multipliers over GF (2 m )
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Algorithms for Computing Inverses in Finite Fields using Special ONBs
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An application of the method of additive chains to inversion in finite fields
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Dual ASIC/FPGA Design of Elliptic Curve Scalar Multiplication for Wireless Networks and Internet of Things
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Elliptic Curve Cryptography over Binary Finite Field GF(2m)
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Application exploration regarding a DPC like architecture
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О применении метода аддитивных цепочек к инвертированию в конечных полях
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Performance Analysis Of Secured Synchronous Stream Ciphers
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