Title :
Cyclic codes over a linear companion of Z4
Author :
Udaya, P. ; Bonnecaze, A.
Author_Institution :
Dept. of Math., R. Melbourne Inst. of Technol., Vic., Australia
Abstract :
We introduce linear cyclic codes over the ring R=F2+uF 2={0,1,u,u¯=u+1}, where u2=0. This ring shares many properties of Z4 and F4 and admits a linear “Gray map”. Self-dual cyclic codes of odd length exists as in the case of Z4-codes. We give a BCH-like bound for these codes and describe a simple algebraic decoding procedure
Keywords :
binary codes; cyclic codes; decoding; dual codes; linear codes; BCH-like bound; Z4-codes; algebraic decoding; binary codes; linear Gray map; linear cyclic codes; odd length codes; self-dual cyclic codes; Algebra; Australia; Binary codes; Decoding; Linear code; Mathematics; Polynomials;
Conference_Titel :
Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-7803-5000-6
DOI :
10.1109/ISIT.1998.709003
