Title :
On the generators of Z4 cyclic codes of length 2e
Author :
Abualrub, Taher ; Oehmke, Robert
Author_Institution :
Dept. of Math., American Univ. of Sharjah, United Arab Emirates
Abstract :
Results are presented on the generators of ideals in the ring Z4[x]/(xn-1). In particular, each ideal (cyclic code) has a unique distinguished set of generators that characterizes any cyclic code. Some results about dual codes are also included.
Keywords :
binary codes; cyclic codes; dual codes; linear codes; binary linear codes; code length; cyclic code generators; dual codes; gray map; Additives; Binary codes; Character generation; Cities and towns; Code standards; Linear code; Mathematics; Parity check codes; Polynomials;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.815763
