Self-dual codes over some prime fields constructed from skew-Hadamard matrices

References

• Araya , M. , Harada , M. and Kharaghani , H. 2004 . Some Hadamard matrices of order 32 and their binary codes . J. Cornbin. Designs. , 12 : 142 – 146 .
   Google Scholar
• Betsumiya , K. , Georgiou , S. , Gulliver , T. A. , Harada , M. and Kou-kouvinos , C. 2003 . On self-dual codes over some prune fields . Discrete Mathematics , 262 : 37 – 58 .
   Google Scholar
• de Boer , M. A. 1996 . Almost MDS codes, Designs . Codes and Cryptography , 9 : 143 – 155 .
   Google Scholar
• Chao , J. M. and Kaneta , H. 1997 . Classical arcs in PG(r, q) for 11≤q≤19 . Discrete Mathematics , 174 : 87 – 94 .
   Google Scholar
• Conway , J. H. and Sloane , N. J. A. 1990 . A new upper bound on the minimal distance of self-dual codes . IEEE Trans. Inform. Theory , 36 : 1319 – 1333 .
   Google Scholar
• Georgiou , S. and Koukouvinos , C. 2002 . MDS self-dual codes over large prime fields . Finite Fields and their Applications , 8 : 455 – 470 .
   Google Scholar
• Gulliver , T. A. and Harada , M. 1999 . New optimal self-dual codes over GF(7) . Graphs and Combinatorics , 15 : 175 – 186 .
   Google Scholar
• Harada , M. 2005 . On the self-dual F 6-codes constructed from Hadamard matrices of order 24 . J. Combin. Designs , 13 : 152 – 156 .
   Google Scholar
• Geramita , A. V. and Seberry , J. 1979 . Orthogonal Designs: Quadratic forms and Hadamard Matrices , New York : Marcel Dekker .
   Google Scholar
• Leon , J. S. , Pless , V. and Sloane , N. J. A. 1982 . Self-dual codes over GF(5) . J. Combin. Theory Ser. A , 32 : 178 – 194 .
   Web of Science ®Google Scholar
• MacWilliams , F. J. and Sloane , N. J. A. 1977 . The Theory of Error-Correcting Codes , Amsterdam : North-Holland .
   Google Scholar
• Pless , V. S. and Tonchev , V. D. 1987 . Self-dual codes over GF(7) . IEEE Trans. Inform. Theory , 33 : 723 – 727 .
   Web of Science ®Google Scholar
• Rains , E. M. and Sloane , N. J. A. 1998 . “ Self-dual codes ” . In Handbook of Coding Theory , Edited by: Pless , V. and Huffman , W. C. 177 – 294 . Amsterdam : Elsevier . in
   Google Scholar
• Tonchev , V. D. 1996 . “ Codes ” . In The CRC Handbook of Combinatorial Designs , Edited by: Colbourn , C. J. and Dinitz , J. H. 517 – 543 . Boca Raton , Florida : CRC Press . in
   Google Scholar