Optimal double circulant self-dual codes over F 4

IEEE Transactions on Information Theory

Volumn 46, Issue 1, 2000, Pages 271-274

  Gulliver, T Aaron ^a,b,c  

^a IEEE   (Canada)

^b UNIVERSITY OF CANTERBURY   (New Zealand)

^c UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

OPTIMAL DOUBLE CIRCULANT CODES; SELF DUAL CODES;

ERROR CORRECTION; MATRIX ALGEBRA; OPTIMAL SYSTEMS; OPTIMIZATION; SET THEORY; VECTORS;

CODES (SYMBOLS);

EID: 0033899911     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.817526     Document Type: Article

References (9)

1. J. H. Conway and V. Pless, "Monomials of orders 7 and 11 cannot be in the group of a (24,12,10) self-dual quaternary code," IEEE Trans. Inform. Theory, vol. IT-29, pp. 137-140, 1983.
2. J. H. Conway, V. Pless, and N. J. A. Sloane, "Self-dual codes over GF(3) and GF(4) of length not exceeding 16," IEEE Trans. Inform. Theory, vol. IT-25, pp. 312-322, 1979.
3. W. C. Huffman, "On extremal self-dual quaternary codes of lengths 18 to 28 I," IEEE Trans. Inform. Theory, vol. 36, pp. 651-660, 1990.
4. _, "On extremal self-dual quaternary codes of lengths 18 to 28, II," IEEE Trans. Inform. Theory, vol. 37, pp. 1206-1216, 1991.
5. _, "Characterization of quaternary extremal codes of lengths 18 and 20," IEEE Trans. Inform. Theory, vol. 43, pp. 1613-1616, 1997.
6. F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes. Amsterdam, The Netherlands: North-Holland, 1977.
7. F. J. MacWilliams, A. M. Odlyzko, and N. J. A. Sloane, "Self-dual codes over GF(4)," J. Combin. Theory Ser. A, vol. 25, pp. 288-318, 1978.
8. V. Pless, "Q-codes," J. Combin. Theory Ser. A, vol. 43, pp. 258-276, 1986.
9. E. M. Rains and N. J. A. Sloane, "Self-dual codes," in Handbook of Coding Theory. Amsterdam, The Netherlands: Elsevier, 1998.