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 :
