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» Redundant Trinomials for Finite Fields of Characteristic 2
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ACISP
2005
Springer
14 years 10 days ago
Redundant Trinomials for Finite Fields of Characteristic 2
Abstract. In this article we introduce redundant trinomials to represent elements of finite fields of characteristic 2. This paper develops applications to cryptography, especial...
Christophe Doche
ARC
2007
Springer
140views Hardware» more  ARC 2007»
14 years 4 months ago
A Fast Finite Field Multiplier
We present a method for implementing a fast multiplier for finite fields GF(2m ) generated by irreducible trinomials of the form αm + αn
Edgar Ferrer, Dorothy Bollman, Oscar Moreno
TC
2008
13 years 10 months ago
Low-Complexity Bit-Parallel Square Root Computation over GF(2^{m}) for All Trinomials
In this contribution we introduce a low-complexity bit-parallel algorithm for computing square roots over binary extension fields. Our proposed method can be applied for any type ...
Francisco Rodríguez-Henríquez, Guill...
FDTC
2006
Springer
80views Cryptology» more  FDTC 2006»
14 years 2 months ago
Robust Finite Field Arithmetic for Fault-Tolerant Public-Key Cryptography
We present a new approach to fault tolerant public key cryptography based on redundant arithmetic in finite rings. Redundancy is achieved by embedding non-redundant field or ring ...
Gunnar Gaubatz, Berk Sunar