Geodesic
Codes and projective multisets
The electronic journal of combinatorics, Tome 5 (1998)
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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.
DOI : 10.37236/1375
Classification : 94B05, 51E22, 94B27
Mots-clés : projective multisets, linear codes, self-duality 
@article{10_37236_1375,
     author = {Stefan Dodunekov and Juriaan Simonis},
     title = {Codes and projective multisets},
     journal = {The electronic journal of combinatorics},
     year = {1998},
     volume = {5},
     doi = {10.37236/1375},
     zbl = {0928.94009},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1375/}
}
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Stefan Dodunekov; Juriaan Simonis. Codes and projective multisets. The electronic journal of combinatorics, Tome 5 (1998). doi: 10.37236/1375

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