AG codes on certain maximal curves
Stefania Fanali, Massimo Giulietti
TL;DR
This paper explores algebraic geometric codes derived from a new class of maximal curves, leading to the discovery of improved linear codes and numerous enhancements in coding tables.
Contribution
It introduces a novel class of maximal curves and constructs better algebraic geometric codes from them, surpassing previous parameters.
Findings
Discovered new linear codes with superior parameters.
Achieved 70 improvements on MinT's tables.
Enhanced understanding of algebraic geometric codes on maximal curves.
Abstract
Algebraic Geometric codes associated to a recently discovered class of maximal curves are investigated. As a result, some linear codes with better parameters with respect to the previously known ones are discovered, and 70 improvements on MinT's tables are obtained.
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Taxonomy
TopicsCoding theory and cryptography · graph theory and CDMA systems · Cellular Automata and Applications