Title :
Local and interweight spectra of perfect binary codes
Author :
Vasil´eva, A.Yu.
Author_Institution :
Inst. of Math., Novosibirsk
Abstract :
The structure of perfect binary single-error-correcting codes of length n=2t-1 is investigated. The concepts of local and interweight spectra of a code are introduced. They are generalizations of the notion of the weight spectrum of a code. Properties of the spectra of perfect codes are studied. The concept of strong distance-invariance of a code is introduced and it is shown that a perfect binary code is strong distance-invariant
Keywords :
binary codes; error correction codes; interweight spectra; local spectra; perfect binary codes; single-error-correcting codes; strong distance-invariance; weight spectrum; Binary codes; Error correction codes; Hamming distance; Mathematics;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866772