Linear Codes with Two or Three Weights From Quadratic Bent Functions

preprint2015arXivOpen access

Abstract

Linear codes with few weights have applications in secrete sharing, authentication codes, association schemes, and strongly regular graphs. In this paper, several classes of pp-ary linear codes with two or three weights are constructed from quadratic Bent functions over the finite field $\gf_p$, where pp is an odd prime. They include some earlier linear codes as special cases. The weight distributions of these linear codes are also determined.

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