AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves

作     者：Montanucci, Maria Timpanella, Marco Zini, Giovanni 

作者机构：Univ Basilicata Potenza Italy Univ Milano Bicocca Milan Italy 

出 版 物：《JOURNAL OF GEOMETRY》 (几何学杂志)

年 卷 期：2018年第109卷第1期

页      面：23-23页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Ministry for Education, University and Research of Italy (MIUR) (Project PRIN "Geometrie di Galois e strutture di incidenza") [2012XZE22K_005] Italian National Group for Algebraic and Geometric Structures and their Applications (GNSAGA - INdAM) 

主　　题：Suzuki curve Ree curve AG code Quantum code Convolutional code Code automorphisms 

摘      要：We investigate several types of linear codes constructed from two families of maximal curves over finite fields recently constructed by Skabelund as cyclic covers of the Suzuki and Ree curves. Plane models for such curves are provided, and the Weierstrass semigroup at an F-q-rational point is shown to be symmetric.