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
fDate :
7/1/1996 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
