Non-projective two-weight codes
<|reference_start|>Non-projective two-weight codes: 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.<|reference_end|>
@article{kurz2024non-projective,
    title={Non-projective two-weight codes},
    author={Sascha Kurz},
    journal={arXiv preprint arXiv:2402.16643},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.16643},
    primaryClass={math.CO cs.IT math.IT}
}