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Performance Increasing Approaches For Binary Field Inversion
binary field multiplicative inversion Extended Euclidean Algorithm
2016/1/8
Authors propose several approaches for increasing performance of multiplicative inversion algorithm in binary fields based on Extended Euclidean Algorithm (EEA). First approach is based on Extended Eu...
Faster Binary-Field Multiplication and Faster Binary-Field MACs
Performance FFTs Polynomial multiplication
2016/1/7
This paper shows how to securely authenticate messages using
just 29 bit operations per authenticated bit, plus a constant overhead
per message. The authenticator is a standard type of “universal” h...
Binary Field Multiplication on ARMv8
Polynomial Multiplication Binary Field Multiplication ARMv8
2015/12/29
In this paper, we show efficient implementations of binary
field multiplication over ARMv8. We exploit an advanced 64-bit polynomial
multiplication (PMULL) supported by ARMv8 and conduct multiple
l...
Binary eld multiplication is the most fundamental building block of binary eld Elliptic Curve Cryptography (ECC) and Galois/Counter Mode (GCM). Both bit-wise scanning and Look-Up Table (LUT) based m...
Obtaining More Karatsuba-Like Formulae over the Binary Field
Karatsuba algorithm polynomial multiplication Chinese remainder theorem
2010/1/18
The aim of this paper is to find more Karatsuba-like formulae for a fixed set of moduli polynomials
in GF(2)[x]. To this end, a theoretical framework is established. We first generalize the division
...