In this thesis, a bit parallel architecture for a parallel finite field multiplier with low complexity in composite fields GF((2n)m) with k = n · m (k 32) is investigated. The architecture has lower complexity when the Karatsuba-Ofman algorithm is applied for certain k. Using particular primitive polynomials for composite fields improves the complexities. We demonstrated for the values m = 2, 4, 8 in details. This thesis is based on the paper أA New Architecture for a Parallel Finite Field Multiplier with Low Complexity Based on Composite Fields ؤ by Christof Paar. The whole purpose of this thesis is to understand and present a detailed description of the results of the paper of Paar.M.S. - Master of Scienc
We introduce a new class of irreducible pentanomials over F2F2 of the form f(x)=x2b+c+xb+c+xb+xc+1f(...
Finite field multiplier is mainly used in error-correcting codes and signal processing. Finite field...
This contribution describes a new class of arithmetic architectures for Galois fields GF(2(k)). The ...
Abstract-In this paper a new bit-parallel structure for a multiplier with low complexity in Galois f...
AbstractÐThe Massey-Omura multiplier of GF \u852m uses a normal basis and its bit parallel version ...
AbstractThis paper presents a configuration of parallel multipliers for GF(2m) based on canonical ba...
Fast multiplication in a finite field GF(2m) is a basis step in communications engineering applicati...
Abstract—For efficient hardware implementation of finite field arithmetic units, the use of a normal...
Arithmetic in Finite/Galois field is a major aspect for many applications such as error correcting c...
A new method for building bit-parallel polynomial basis finite field multipliers is proposed in this...
144 p.The security strength of Public Key Cryptosystems (PKCs) is attributed to the complex computat...
144 p.The security strength of Public Key Cryptosystems (PKCs) is attributed to the complex computat...
Finite fields is considered as backbone of many branches in number theory, coding theory, cryptograp...
We present an architecture for digit-serial multiplication in finite fields GF(2^m) with application...
Abstract — A new parallel-in serial-out finite field multiplier using redundant representation for a...
We introduce a new class of irreducible pentanomials over F2F2 of the form f(x)=x2b+c+xb+c+xb+xc+1f(...
Finite field multiplier is mainly used in error-correcting codes and signal processing. Finite field...
This contribution describes a new class of arithmetic architectures for Galois fields GF(2(k)). The ...
Abstract-In this paper a new bit-parallel structure for a multiplier with low complexity in Galois f...
AbstractÐThe Massey-Omura multiplier of GF \u852m uses a normal basis and its bit parallel version ...
AbstractThis paper presents a configuration of parallel multipliers for GF(2m) based on canonical ba...
Fast multiplication in a finite field GF(2m) is a basis step in communications engineering applicati...
Abstract—For efficient hardware implementation of finite field arithmetic units, the use of a normal...
Arithmetic in Finite/Galois field is a major aspect for many applications such as error correcting c...
A new method for building bit-parallel polynomial basis finite field multipliers is proposed in this...
144 p.The security strength of Public Key Cryptosystems (PKCs) is attributed to the complex computat...
144 p.The security strength of Public Key Cryptosystems (PKCs) is attributed to the complex computat...
Finite fields is considered as backbone of many branches in number theory, coding theory, cryptograp...
We present an architecture for digit-serial multiplication in finite fields GF(2^m) with application...
Abstract — A new parallel-in serial-out finite field multiplier using redundant representation for a...
We introduce a new class of irreducible pentanomials over F2F2 of the form f(x)=x2b+c+xb+c+xb+xc+1f(...
Finite field multiplier is mainly used in error-correcting codes and signal processing. Finite field...
This contribution describes a new class of arithmetic architectures for Galois fields GF(2(k)). The ...