RUS  ENG
Full version
JOURNALS // Problemy Peredachi Informatsii // Archive
Probl. Peredachi Inf., 1976 Volume 12, Issue 1, Pages 16–23 (Mi ppi1671)
Coding Theory

Perfect Arithmetic Single-Error-Correcting $AN$-Codes

I. M. Boyarinov, G. A. Kabatiansky


Abstract: Necessary and sufficient existence conditions for perfect $r$-ary single-error-correcting $AN$-codes are obtained. All perfect ternary $AN$-codes are described; the nonexistence of perfect $AN$-codes for some $r$ is proved.

UDC: 621391.15

Received: 23.08.1974


 English version: Problems of Information Transmission, 1976, 12:1, 10–16

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024