Codes and Projective Multisets

The paper gives a matrix-free presentation of the correspondence between full-length linear codes and projective multisets. It generalizes the BrouwerVan 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.

• Type: Journal
• Year: 1998
• Where: COMBINATORICS
• Authors: Stefan M. Dodunekov, Juriaan Simonis
• Keywords: BrouwerVan Eupen Construction, COMBINATORICS 1998, Full-length Linear Codes, Projective Multisets