Feb 24, 2009 · GF(2 ) is proposed. In order to develop a combined circuit, we start with combining the most significant bit first multiplication al-.

We also present an application of the proposed method to cryptographic processor consisting of GF(2 m ) arithmetic circuits. The target architecture ...

May 27, 2011 · The significant advantage of the proposed approach is demonstrated through experimental designs of parallel multipliers over GF(2 m ) for ...

If f is a univariate polynomial of degree n , setmod_ff( f ) sets GF(2^n) as the current base field. GF(2^n) is represented as an algebraic extension of GF(2) ...

sage: sr = mq.SR(1,1,1,4,gf2=False) sage: F,s = sr.polynomial_system(); F Polynomial System with 40 Polynomials in 20 Variables sage: F2 = F.weil_restriction ...

Napier's number, the base of natural logarithm. @: A generator of GF(2^m), a finite field of characteristic 2, over GF(2). It is a ...

Example 13 Let B = GF2 ~ GF2. In a polynomial ring B[X], {(1,0)X,(0,1)X} and {(1,1)X} are both reduced Gröbner bases of the same ideal. In order to have a ...

AbstractÐA fast algorithm for multiplicative inversion in GFc2mõ using normal basis is proposed. It is an improvement on those.

Then the efficiency of the proposed method is demonstrated using the design and verification of PR-based GF multipliers. In addition, GF(2 8 ) inversion ...

The advantageous effects of the proposed approach are demonstrated through experimental designs of parallel multipliers over Galois field GF(2 m ) for different ...