Finite fields have been used for numerous applications including error-control coding and
cryptography. The design of efficient multipliers, dividers, and exponentiators for finite field …

Exponentiation in finite or Galois fields, GF (2/sup m/), is a basic operation for several
algorithms in areas such as cryptography, error-correlation codes and digital signal …

In many problems, modular exponentiation| xb| m is a basic computation, often responsible
for the overall time performance, as in some cryptosystems, since its implementation …

This invention describes a method for evaluating a polynomial in an extension field F q M,
wherein the method comprises the steps of partitioning the polynomial into a plurality of …

Galois Field has been used for numerous applications including error control coding and
cryptography. The design of efficient multipliers, dividers and exponentiation circuits for …

This thesis focuses on the design of VLSI architectures for fundamental finite field arithmetic
operations and their applications including Reed-Solomon error-control codecs and elliptic …

Finite or Galois fields are used in numerous applications like error correcting codes in digital
communication, pseudorandom number generation and cryptography. These applications …

Finite fields have received a lot of attention because of their important and practical
applications in cryptography, coding theory, switching theory and digital signal processing …

정보보안을 위한 암호화는 종종 Galois Field 상에서 산술 연산의 형태로 이루어진다. 본 논문은
Galois Field 상에서 산술정보의 지수 연산 처리를 효과적으로 수행하는 방법을 제안한다. 특히 …

Encapsulation for information security is often carried out in Galois field in the form of
arithmetic operations. This paper proposes how to efficiently perform exponentiation of …