DocumentCode
1173386
Title
A mass formula and rank of 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
Volume
50
Issue
12
fYear
2004
Firstpage
3306
Lastpage
3312
Abstract
In this correspondence, we study cyclic codes of length n=2e over the ring R4=Z4[x]/(xn-1). In particular, we derive a closed-form expression for the number of these codes for a given length n. We also study the rank of these codes and derive an expression for that. Furthermore, we give an example in which we study all cyclic codes of length 8. We also study all self-dual codes of length 8 and 16 and classify them according to their type.
Keywords
cyclic codes; dual codes; 
4 cyclic codes; mass formula; self-dual codes; Amplitude modulation; Binary codes; Hamming weight; Mathematics; Modulation coding; Phase modulation; Phase shift keying; Quadrature amplitude modulation; Receiving antennas; Wireless communication; 65; Cyclic codes; dual codes; self-dual codes;
4 cyclic codes; mass formula; self-dual codes; Amplitude modulation; Binary codes; Hamming weight; Mathematics; Modulation coding; Phase modulation; Phase shift keying; Quadrature amplitude modulation; Receiving antennas; Wireless communication; 65; Cyclic codes; dual codes; self-dual codes;fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2004.838109
Filename
1362915
Link To Document