Codes and projective multisets

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Abstract

The paper gives a matrix-free presentation of the correspondence between full-length linear codes and projective multisets. It generalizes the Brouwer-Van Eupen construction that transforms projective codes into two-weight codes. Short proofs of known theorems are obtained. A new notion of self-duality in coding theory is explored. 94B05, 94B27, 51E22.

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APA

Dodunekov, S., & Simonis, J. (1998). Codes and projective multisets. Electronic Journal of Combinatorics, 5(1). https://doi.org/10.37236/1375

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