Title :
The MacWilliams Relations of Liner Codes over F_2+uF_2
Author :
Yihe, Rui ; Yizhi, Chen
Author_Institution :
Coll. of Stat. & Math., ZheJiang Gongshang Univ., Hangzhou, China
Abstract :
We introduce weight enumerators of liner codes over the ring F2+uF2={0,1,u,1+u}. We first study the MacWilliams relations of liner codes over F2+uF2 under the Hermitian inner product. We proved that for codes over the ring F2+uF2 the MacWilliams relations are the same for both inner products.
Keywords :
Galois fields; codes; Galois field; Hermitian inner product; MacWilliams relations; liner codes; weight enumerators; Cryptography; Educational institutions; Hamming weight; Measurement; Modules (abstract algebra); Transforms; Hermitian inner product; Liner code; MacWilliams relations; weight enumerators;
Conference_Titel :
Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce & Its Applications and Embedded Systems (CDEE), 2010 First ACIS International Symposium on
Conference_Location :
Qinhuangdao
Print_ISBN :
978-1-4244-9595-5
DOI :
10.1109/CDEE.2010.32
