13 search results - page 1 / 3 » Construction of Rational Surfaces Yielding Good Codes |
CORR
2010
Springer
13 years 5 months ago
2010
Springer
In the present article, we consider algebraic geometry codes on some rational surfaces. The estimate of the minimum distance is translated into a point counting problem on plane cu...
SMI
2010
IEEE
13 years 3 months ago
2010
IEEE
Abstract—We exhibit the essentially unique projective linear (rational linear) reparameterization for constructing Cs surfaces of genus g > 0. Conversely, for quadrilaterals a...
FFA
2007
13 years 5 months ago
2007
We present a new construction for (n, w, λ)-optical orthogonal codes (OOCs). The construction is pleasingly simple, where codewords correspond to arcs, specifically normal ratio...
FFA
2007
13 years 5 months ago
2007
In this paper we construct some algebraic geometric error-correcting codes on surfaces whose Neron-Severi group has low rank. If the rank of the Neron-Severi group is 1, the inters...
AAECC
2002
Springer
13 years 5 months ago
2002
Springer
Abstract. For any integral convex polytope in R2 there is an explicit construction of an error-correcting code of length (q - 1)2 over the finite field Fq, obtained by evaluation o...