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Some results concerning linear codes and (k, 3)-caps in three-dimensional Galois space

Published online by Cambridge University Press:  24 October 2008

Raymond Hill
Raymond Hill
Affiliation:
University of Salford
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Abstract

The packing problem for (k, 3)-caps is that of finding (m, 3)r, q, the largest size of (k, 3)-cap in the Galois space Sr, q. The problem is tackled by exploiting the interplay of finite geometries with error-correcting codes. An improved general upper bound on (m, 3)3 q and the actual value of (m, 3)3, 4 are obtained. In terms of coding theory, the methods make a useful contribution to the difficult task of establishing the existence or non-existence of linear codes with certain weight distributions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 2 , September 1978 , pp. 191 - 205
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

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