Title :
Greedy codes over Z4
Author :
Guenda, Kenza ; Gulliver, T. Aaron ; Sheikholeslam, S. Arash
Author_Institution :
Fac. of Math. USTHB, Univ. of Sci. & Technol. of Algiers, Algiers, Algeria
Abstract :
In this paper, we consider the construction of lexi-codes by using a B-ordering over the ring Z4. This algorithm can be applied to any multiplicative property over Z4. It is shown that this construction produces many optimal codes over Z4 and also good binary codes.
Keywords :
binary codes; ℤ4 greedy code; B-ordering; binary code; lexi-code construction; multiplicative property; optimal code; Binary codes; Cryptography; Greedy algorithms; Lattices; Linear code; Linearity; Vectors;
Conference_Titel :
Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
978-1-4673-2580-6
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2012.6284135