Improved Two-Point Codes on Hermitian Curves

Iwan Duursma; Radoslav Kirov

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arXiv · 1004.1752

Improved Two-Point Codes on Hermitian Curves

Iwan Duursma·Radoslav Kirov

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Abstract

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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Iwan Duursma, Radoslav Kirov. 2010-04-10. Improved Two-Point Codes on Hermitian Curves. https://arxiv.org/abs/1004.1752

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