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arXiv · 2402.16643

Non-projective two-weight codes

Sascha Kurz
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Abstract

It has been known since the 1970's that the difference of the non-zero weights of a projective $\mathbb{F}_q$-linear two-weight has to be a power of the characteristic of the underlying field. Here we study non-projective two-weight codes and e.g.\ show the same result under mild extra conditions. For small dimensions we give exhaustive enumerations of the feasible parameters in the binary case.

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Sascha Kurz. 2024-02-27. Non-projective two-weight codes. https://arxiv.org/abs/2402.16643

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