Title :
On binary-to-q-ary codes over groups
Author :
Wilhelmsson, Leif
Author_Institution :
Dept. of Telecommun. Theory, Lund Univ., Sweden
Abstract :
A class of binary-to-q-ary convolutional codes is studied where the operation performed in the encoder is addition modulo q. For rate 1 codes an extended spectrum for the codes is defined and a necessary and sufficient condition for the encoder to be catastrophic is given. Optimal codes, for relatively small alphabet size q and memory size m, found by computer search are reported
Keywords :
binary sequences; convolutional codes; group theory; binary-to-q-ary codes; catastrophic encoder; convolutional codes; extended spectrum; group codes; optimal codes; Convolutional codes; Hamming weight; Sufficient conditions;
Conference_Titel :
Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
Conference_Location :
Whistler, BC
Print_ISBN :
0-7803-2453-6
DOI :
10.1109/ISIT.1995.550297
