Add to ORKGThe thesis discusses the basics of efficient multiplication in finite fields, especially in binary fields. There are two broad approaches: polynomial representation and normal bases, used in software and hardware implementations, respectively. Due to the advantages of normal bases of low complexity, there is also a brief introduction to constructing optimal normal bases. Furthermore, as irreducible polynomials are of fundamental importance for finite fields, the thesis concludes with some irreducibility test
This paper presents several methods for reducing the number of bit operations for multiplication of ...
AbstractWe present a method for multiplication in finite fields which gives multiplication algorithm...
Efficient hardware implementations of arithmetic operations in the Galois field GF(2^m) are highly d...
When implementing a cryptographic algorithm, efficient operations have high relevance both in hardwa...
In this paper we present a number of algorithms and optimization techniques to speedup computations ...
The subject for this thesis is to find a basis which minimizes the number of bit operations involved...
Finite field arithmetic logic is central in the implementation of some error-correcting coders and s...
In this paper we present a hardware-software hybrid technique for modular multiplication over large ...
Finite fields is considered as backbone of many branches in number theory, coding theory, cryptograp...
This paper deals with binary field multiplication. We use the bivariate representation of binary fie...
AbstractBinary representations of finite fields are defined as an injective mapping from a finite fi...
Abstract—For efficient hardware implementation of finite field arithmetic units, the use of a normal...
144 p.The security strength of Public Key Cryptosystems (PKCs) is attributed to the complex computat...
AbstractBinary representations of finite fields are defined as an injective mapping from a finite fi...
Title: Fast multiplication in the field GF(2n ) Author: Marek Bajtoš Department: Department of Algeb...
This paper presents several methods for reducing the number of bit operations for multiplication of ...
AbstractWe present a method for multiplication in finite fields which gives multiplication algorithm...
Efficient hardware implementations of arithmetic operations in the Galois field GF(2^m) are highly d...
When implementing a cryptographic algorithm, efficient operations have high relevance both in hardwa...
In this paper we present a number of algorithms and optimization techniques to speedup computations ...
The subject for this thesis is to find a basis which minimizes the number of bit operations involved...
Finite field arithmetic logic is central in the implementation of some error-correcting coders and s...
In this paper we present a hardware-software hybrid technique for modular multiplication over large ...
Finite fields is considered as backbone of many branches in number theory, coding theory, cryptograp...
This paper deals with binary field multiplication. We use the bivariate representation of binary fie...
AbstractBinary representations of finite fields are defined as an injective mapping from a finite fi...
Abstract—For efficient hardware implementation of finite field arithmetic units, the use of a normal...
144 p.The security strength of Public Key Cryptosystems (PKCs) is attributed to the complex computat...
AbstractBinary representations of finite fields are defined as an injective mapping from a finite fi...
Title: Fast multiplication in the field GF(2n ) Author: Marek Bajtoš Department: Department of Algeb...
This paper presents several methods for reducing the number of bit operations for multiplication of ...
AbstractWe present a method for multiplication in finite fields which gives multiplication algorithm...
Efficient hardware implementations of arithmetic operations in the Galois field GF(2^m) are highly d...