The nonexistence of ternary [50,5,32] codes

Designs, Codes, and Cryptography

Volumn 7, Issue 3, 1996, Pages 235-237

  Van Eupen, Marijn ^a   Hamada, Noboru ^b   Watamori, Yoko ^c  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b Osaka Prefecture University   (Japan)

^c HIROSHIMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000839380     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00124514     Document Type: Article

References (9)

1. G. T. Bogdanova and I. G. Boukliev, New linear codes of dimension 5 over GF(3), Proceedings of the Fourth International Workshop on Algebraic and Combinatorial Coding Theory, Novgorod, Russia, September (1994) pp. 41-43.
2. M. van Eupen, Some new results for ternary linear codes of dimension 5 and 6, IEEE Trans. Inform. Theory, to appear.
3. N. Hamada, A survey of recent work on characterization of minihypers in PG(t, q) and nonbinary linear codes meeting the Griesmer bound, J. Combin. Inform. Syst. Sci., Vol. 18 (1993) pp. 161-191.
4. 4(5, d), 1 ≤ d ≤ 256, Math. Japonica, Vol. 43 (1996), to appear.
5. N. Hamada, T. Helleseth and φ. Ytrehus, The nonexistence of [51, 5, 33; 3]-codes, Ars Combin., Vol. 35 (1993) pp. 25-32.
6. N. Hamada and Y. Watamori, The nonexistence of [71, 5, 46; 3]-codes, J. Statist. Plann. Inference, to appear.
7. 3(6, d), 1 ≤ d ≤ 243, Math. Japonica, Vol. 43 (1996), to appear.
8. R. Hill and D. E. Newton, Optimal ternary linear codes, Designs, Codes and Cryptography, Vol. 2 (1992) pp. 137-157.
9. R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia of Mathematics and its Applications, Vol. 20, Addison-Wesley Publishing Company, Massachusetts, (1983).