Codes Defined By Forms Of Degree 2 On Quadric Surfaces

Simple item page
dc.creatorEdoukou, Frederic A. B.
dc.date2005-11-28
dc.date.accessioned2026-07-07T06:51:49Z
dc.date.available2026-07-07T06:51:49Z
dc.descriptionWe study the functional codes $C_2(X)$ defined on projective varieties $X$, in the case where $X\subset \mathbb{P}^3$ is a 1-degenerate quadric or a non-degenerate quadric (hyperbolic or elliptic). We find the minimum distance of these codes, the second weight, and the third weight. We also show the geometrical structure of the first weight and second weight codewords. One result states that the codes $C_2(X)$ defined on the elliptic quadrics are good codes according to the table of A. E. Brouwer.
dc.descriptionsubmitted to IEEE, November 25, 2005
dc.identifierhttps://arxiv.org/abs/math/0511679
dc.identifierhttp://arxiv.org/abs/math/0511679
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105113
dc.subjectAlgebraic Geometry
dc.subject05 B25; 11T71;14J29
dc.titleCodes Defined By Forms Of Degree 2 On Quadric Surfaces
dc.typetext

Files

Collections

arXiv