Titlebook: Coding Theory and Applications; 2nd International Ca ángela Barbero Conference proceedings 2008 Springer-Verlag Berlin Heidelberg 2008 Alge

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Lecture Notes in Earth SciencesThe quality of an algebraic geometry code depends on the curve from which the code has been defined. In this paper we consider codes obtained from ., namely those whose number of rational points attains the Lewittes’ bound for some rational point . and the Weierstrass semigroup at . is symmetric.

Finasteride

Sedimentation as a Three-Component SystemWe determine the Weierstrass semigroup of a pair of rational points on Norm-Trace curves. We use this semigroup to improve the lower bound on the minimum distance of two-point algebraic geometry codes arising from these curves.

陳腐的人

神圣不可

Sedimentation as a Three-Component SystemWe consider codes that offer unequal error protection to different information symbols, as measured by the so-called separation vector (a generalisation of the minimum Hamming distance)..We determine the parameters of all optimal linear quaternary codes of length at most eleven.

Obstreperous

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Witness Sets,Given a set . of binary .-tuples and .?∈?., how many bits of . suffice to distinguish it from the other elements in .?? We shed new light on this old combinatorial problem and improve on previously known bounds.

maverick

Synthesize

Algebraic Geometry Codes from Castle Curves,The quality of an algebraic geometry code depends on the curve from which the code has been defined. In this paper we consider codes obtained from ., namely those whose number of rational points attains the Lewittes’ bound for some rational point . and the Weierstrass semigroup at . is symmetric.

COMA

Two-Point Codes on Norm-Trace Curves,We determine the Weierstrass semigroup of a pair of rational points on Norm-Trace curves. We use this semigroup to improve the lower bound on the minimum distance of two-point algebraic geometry codes arising from these curves.