DocumentCode :
928187
Title :
Further results on binary convolutional codes with an optimum distance profile (Corresp.)
Author :
Johannesson, Rolf ; Paaske, Erik
Volume :
24
Issue :
2
fYear :
1978
fDate :
3/1/1978 12:00:00 AM
Firstpage :
264
Lastpage :
268
Abstract :
Fixed binary convolutional codes are considered which are simultaneously optimal or near-optimal according to three criteria: namely, distance profile d , free distance d_{ \\infty } , and minimum number of weight d_{\\infty } paths. It is shown how the optimum distance profile criterion can be used to limit the search for codes with a large value of d_{\\infty } . We present extensive lists of such robustly optimal codes containing rate R = l/2 nonsystematic codes, several with d_{\\infty } superior to that of any previously known code of the same rate and memory; rate R = 2/3 systematic codes; and rate R = 2/3 nonsystematic codes. As a counterpart to quick-look-in (QLI) codes which are not "transparent," we introduce rate R = 1/2 easy-look-in-transparent (ELIT) codes with a feedforward inverse (1 + D,D) . In general, ELIT codes have d_{\\infty } superior to that of QLI codes.
Keywords :
Convolutional codes; Convolutional codes; Decoding; Error correction codes; Error probability; Hamming weight; Polynomials; Robustness; Viterbi algorithm;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1978.1055850
Filename :
1055850
Link To Document :
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