Weights in Codes and Genus 2 Curves

Details Weights in Codes and Genus 2 Curves Weights in Codes and Genus 2 Curves

2003-06-03

arxiv.org/abs/math/0306060v1

Mathematics

Number Theory

Scientific paper

We discuss a class of binary cyclic codes and their dual codes. The minimum
distance is determined using algebraic geometry, and an application of Weil's
theorem. We relate the weights appearing in the dual codes to the number of
rational points on a family of genus 2 curves over a finite field.

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