Hermitian codes with automorphism group isomorphic to PGL(2,q) with q odd

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• 作者：Gá ; bor Korchmá ; ros ^{gabor.korchmaros@unibas.it} ; Pietro Speziali ; ^{pietro.speziali@unibas.it}
• 关键词：14H55 ; 11T71 ; 11G20 ; 94B27
• 刊名：Finite Fields and Their Applications
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：44
• 期：Complete
• 页码：1-17
• 全文大小：383 K
• 卷排序：44

文摘

Hermitian functional and differential codes defined over divisors with strong combinatorial and algebraic properties have often good performance. Here, those arising from the 2-transitive orbit of PGL(2,q)PGL(2,q) on the Hermitian curve are investigated. In several cases, such codes have better minimum distance compared with the Goppa lower bound. Results on their automorphism groups are also given.