Construction of perfect q-ary codes by switchings of simple components

Problems of Information Transmission

Volumn 42, Issue 1, 2006, Pages 30-37

  Los, A V ^a  

^a NOVOSIBIRSK STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL MODELS; SEQUENTIAL SWITCHING;

HAMMING CODE; Q-ARY CODES;

CODES (SYMBOLS);

EID: 33645971024     PISSN: 00329460     EISSN: 16083253     Source Type: Journal    
DOI: 10.1134/S0032946006010030     Document Type: Article

References (7)

1. Los', A.V., Construction of Perfect q -ary Codes by Sequential Switchings of α-Components, Probl. Peredachi Inf., 2004, vol. 40, no. 1, pp. 40-47 [Probl. Inf. Trans. (Engl. Transl.), 2004, vol. 40, no. 1, pp. 37-43].
2. Avgustinovich, S.V. and Solov'eva, F.I., Construction of Perfect Binary Codes by Sequential Shifts of α-Components, Probl. Peredachi Inf., 1997, vol. 33, no. 3, pp. 15-21 [Probl. Inf. Trans. (Engl. Transl.), 1997, vol. 33, no. 3, pp. 202-207].
3. Romanov, A.M., On Partitions of q-ary Hamming Codes into Disjoint Components, Diskretn. Anal. Issled. Oper., Ser. 1, 2004, vol. 11, no. 3, pp. 80-87.
4. Los', A.V., Construction of Perfect q-ary Codes, in Proc. 9th Int. Workshop on Algebraic and Combinatorial Coding Theory, Kranevo, Bulgaria, 2004, pp. 272-276.
5. Phelps, K.T., Rifàa, J., and Villanueva, M., Kernels of q -ary 1-Perfect Codes, in Proc. Int. Workshop on Coding and Cryptography (WCC-03), Versailles, France, 2003, pp. 375-381.
6. Phelps, K.T. and Villanueva, M., Ranks of q-ary 1-Perfect Codes, Des. Codes Cryptogr., 2002, vol. 27, no. 1-2, pp. 139-144.
7. MacWilliams, F.J. and Sloane, N.J.A., The Theory of Error-Correcting Codes, Amsterdam: North-Holland, 1977. Translated under the title Teoriya kodov, ispravlyayushchikh oshibki, Moscow: Svyaz', 1979.