There is No (24,12,10) Self-Dual Quaternary Code

IEEE Transactions on Information Theory

Volumn 36, Issue 5, 1990, Pages 1153-1156

  Lam, Clement W H ^a   Pless, Vera ^b  

^a Gina Cody School of Engineering and Computer Science   (Canada)

^b UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

QUATERNARY CODES; SELF-DUAL CODES;

CODES, SYMBOLIC;

EID: 0025483055     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.57217     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. ——, “On primes dividing the group order of a doubly-even (72,36,16) code and the group order of a quaternary (24,12,10)-code,” Discrete Math., vol. 38, pp. 143–146, 1982.
3. 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.
4. W. C. Huffman, “On 3–elements in monomial automorphism groups of quaternary codes, and the group of a (24,12,10) code,” preprint.
5. ——, “On the (24,12,10) quaternary code and binary codes with an automorphism having two cycles,” IEEE Trans. Inform. Theory, vol. IT-32, pp. 312–323, 1986.
6. C. L. Mallows and N. J. A. Sloane, “An upper bound for self-dual codes,” Inform. Contr., vol. 22, pp. 188–200, 1973.
7. V. Pless, Introduction to the Theory of Error-Correcting Codes, 2nd ed. New York: Wiley, 1989.
8. V. Pless, N. J. A. Sloane, and H. N. Ward, “Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20,” IEEE Trans. Inform. Theory, vol. IT-26, pp. 305–316, 1980.
9. S. H. Whitesides, “Collineations of projective planes of order 10, parts I and II,” J. Combin. Theory, Series A, vol. 26, pp. 249–277, 1979.