2011-№4(33) Article 16

B. Mounits

New upper bounds for nonbinary codes. р. 189-201

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UDC 53

 

The paper presents new upper bounds for non-binary codes. The bounds can be obtained by linear and semidefinite programming.

 

bounds, codes, programming.

 

References

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2. Delsarte, Ph. Bounds for unrestricted codes, by linear programming// Philips Res. Reports. – Vol. 27. – 1972, June. – P. 272–289.

3. Delsarte, Ph. An algebraic approach to the association schemes of coding theory// Philips Res. Reports Supplements.– 1973. – No. 10.

4. Gijswijt, D. New upper bounds for nonbiliary codes based on the Terwilliger algebraand semidefinite programming [Text]/ D. Gijswijt, A. Schrijver, H. Tanaka// Journal ofComb. Theory, Ser. A. – Vol. 113. – 2006. – P. 1719–1731/

5. MacWilliams, F.J. The Theory of Error-Correcting Codes/ F.J. MacWilliams, N.J. A. Sloane. – Amsterdam: North-Holland, 1977.

6. Mounits, B. Upper Bounds on Codes via Association Schemes and Linear Programming/ B. Mounits, T. Etzion, S. Litsyn. – Advances in Mathematics, of Communications.

7. Schrijver, A. New code upper bounds from the Terwilliger algebra and semidefiniteprogramming [Text]// IEEE Trans, on Inform. Theory. – Vol. 51. – 2005, Aug. – P. 2859–2866.

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