DocumentCode
1087742
Title
New single-error-correcting codes
Author
Ostergard, P.R.J. ; Kaikkonen, Markku K.
Author_Institution
Dept. of Comput. Sci., Helsinki Univ. of Technol., Espoo, Finland
Volume
42
Issue
4
fYear
1996
fDate
7/1/1996 12:00:00 AM
Firstpage
1261
Lastpage
1262
Abstract
A matrix construction of nonlinear error-correcting codes is considered. It is shown how this construction and some related theorems can be applied to old codes to get new codes with minimum distance 3. In total 13 new binary single-error-correcting codes of length at most 511 are obtained
Keywords
error correction codes; linear codes; matrix algebra; binary codes; matrix construction; minimum distance; nonlinear error-correcting codes; single-error-correcting codes; Art; Binary codes; Computer science; Error correction codes; Galois fields; Hamming distance; Hamming weight; Linear code; Mathematics; Parity check codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.508854
Filename
508854
Link To Document