Lower Bounds for Constant Weight Codes

IEEE Transactions on Information Theory

Volumn 26, Issue 1, 1980, Pages 37-43

  Graham, R L ^a   Sloane, N J A ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION THEORY;

CODES, SYMBOLIC;

EID: 0018845233     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1980.1056141     Document Type: Article

References (16)

1. B. Bose and T. R. N. Rao, “On the theory of unidirectional error correcting/detecting codes,” Dept. Comp. Sci., Southern Methodist Univ., Dallas, TX, Tech. Rep. CS-7817, Sept. 1978.
2. S. M. Johnson “A new upper bound for error-correcting codes,” IRE Trans. Inform. Theory, vol. IT-8, pp. 203–207, 1962.
3. M. R. Best, A. E. Brouwer, F. J. MacWilliams, A. M. Odlyzko and N. J. A. Sloane “Bounds for binary codes of length less than 25,” IEEE Trans. Inform. Theory, vol. IT-24, pp. 81–93, Jan. 1978.
4. H. Halberstam and K. F. Roth, Sequences, vol. 1. Oxford: Oxford Univ., 1966.
5. E. R. Berlekamp, Algebraic Coding Theory. New York: McGraw-Hill, 1968.
6. R. L. Graham and N. J. A. Sloane, “On additive bases and harmonious graphs,” to be published.
7. R. C. Bose and S. Chowla, “Theorems in the additive theory of numbers,” Comment. Math. Helvet. vol. 37, 141–147, 1962–1963.
8. F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes. Amsterdam: North-Holland, 1977.
9. L. D. Baumert, Cyclic Difference Sets, Lecture Notes in Math, 182. New York: Springer-Verlag, 1971, p. 151.
10. A. E. Brouwer, written communication.
11. R. E. Kibler, “Some new constant weight codes,” IEEE Trans. Inform. Theory, vol. IT-26, May 1980, to be published.
12. M. J. Colbourn, “Analytic and computer techniques for set packings,” M. S. thesis, Univ. Toronto, Toronto, ON, Canada, esp. p. 149, 1977.
13. S. M. Johnson “Upper bounds for constant weight error correcting codes,” Discrete Math. vol. 3, pp. 109–124, 1972.
14. M. R. Best, “Binary codes with minimum distance four,” Mathematical Centre, Amsterdam, Rep. ZW 112/78, 1978.
15. A. E. Brouwer, “A few new constant weight codes,” IEEE Trans. Inform. Theory, vol. IT-26, May 1980, to be published.
16. P. Delsarte and P. Piret, “On the (23, 14, 5) Wagner code,” IEEE Trans. Inform. Theory, to be published.