Title :
A mass formula for Z4 cyclic codes of length 2e
Author :
Abualrub, Taher ; Ghrayeb, Ali ; Oehmke, Robert H.
Author_Institution :
Dept. of Math. & Stat., American Univ. of Sharjah, United Arab Emirates
fDate :
27 June-2 July 2004
Abstract :
In this paper, we study cyclic codes of length n= 2e over the ring R4= Z4[x]/(xn-1). In particular, we derive a mass formula of these codes for a given length n. We also give an example in which we study codes of length 8.
Keywords :
cyclic codes;
4 cyclic codes; mass formula; Additives; Binary codes; Cities and towns; Error correction; Hamming weight; Linear code; Mathematics; Statistics; Vectors; Wireless communication;
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN :
0-7803-8280-3
DOI :
10.1109/ISIT.2004.1365524