期刊名称：International Journal of Advanced Research in Computer Engineering & Technology (IJARCET)
印刷版ISSN：2278-1323
出版年度：2012
卷号：1
期号：9
页码：185-191
出版社：Shri Pannalal Research Institute of Technolgy
摘要：In Abstract algebra, a Finite field or Galois field (so named in honor of ¨¦variste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, Algebraic geometry, Galois Theory, Cryptography, and Coding theory.Arithmetic in a finite field is different from standard integer arithmetic. There are a limited number of elements in the finite field; all operations performed in the finite field result in an element within that field.An arithmetic unit (AU) that performs all basic arithmetic operations in the finite field GF(2^m) will be implemented, where m is an arbitrary integer. The finite field AU consists of an arithmetic processor, an arithmetic logic unit, and a control unit. The proposed AU has low circuit complexity and is programmable, so that any error-correcting decoder that operates in GF (2^m) can be easily implemented with this AU.
关键词：Arithmeticunit(AU);Error correcting codes;finite ; field
