Improved Two-Point Codes on Hermitian Curves

Details Improved Two-Point Codes on Hermitian Curves Improved Two-Point Codes on Hermitian Curves

2010-04-10

arxiv.org/abs/1004.1752v2

Computer Science

Information Theory

Scientific paper

One-point codes on the Hermitian curve produce long codes with excellent parameters. Feng and Rao introduced a modified construction that improves the parameters while still using one-point divisors. A separate improvement of the parameters was introduced by Matthews considering the classical construction but with two-point divisors. Those two approaches are combined to describe an elementary construction of two-point improved codes. Upon analysis of their minimum distance and redundancy, it is observed that they improve on the previous constructions for a large range of designed distances.

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