On the construction of [q 4 + q 2 ? q, 5,q 4 ? q 3 + q 2 ? 2q; q]-codes meeting the Griesmer bound-Reference-Cited by-同舟云学术

On the construction of [q 4 + q 2 ? q, 5,q 4 ? q 3 + q 2 ? 2q; q]-codes meeting the Griesmer bound

Published:1992-09 Issue:3 Volume:2 Page:225-229
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des Codes Crypt

Author:

Hamada Noboru,Helleseth Tor,Ytrehus �yvind

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

http://link.springer.com/content/pdf/10.1007/BF00141966.pdf

Reference13 articles.

1. R.C. Bose, Mathematical theory of the symmetrical factorial design, Sankhyá, Vol. 8 (1947), pp. 107?166.

2. J.H. Griesmer, A bound for error-correcting codes, IBM Journal of Res. and Devel., Vol. 4 (1960) pp. 532?542.

3. N. Hamada, Characterization of minihypers in a finite projective geometry and its applications to error-correcting codes, Bulletin of Osaka Women's University, Vol. 24 (1987) pp. 1?24.

4. N. Hamada, A characterization of some [n, k, d; q]-codes meeting the Griesmer bound using a minihyper in a finite projective geometry, in Combinatorial Aspects of Design Experiments, Discrete Math., (1992), ch. 4. To appear.

5. N. Hamada and M. Deza, A characterization of 2v ?+1+2v ?+1, 2v ?+2v ?; t, q-?minihypers in PG(t, q) (t ? 3, q ? 5 and 0 ? ? < ? < t) and its applications to error-correcting codes, Discrete Math., Vol. 93 (1991) pp. 19?33.

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