Non-projective two-weight codes

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Kurz, Sascha:
Non-projective two-weight codes.
Bayreuth , 2024 . - 18 S.
DOI: https://doi.org/10.15495/EPub_UBT_00007498

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Abstract

It has been known since the 1970's that the difference of the non-zero weights of a projective GF(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.