goppa codes meaning in English

戈帕码

Second , combining with the construction principle of geometry - goppa codes , we present a kind of new algebraic - geometry code by using the properties of algebraic curves on finite fields . we determine the value of the code - length n and d imension k , and the lower bound of the minimal distances of the new algebraic - geometry code . the new algebraic - geometry code have the following characteristics : ( l ) the new code is the generalization of geometry - goppa codes and the algebraic - geometry code constructed by chaoping xing and san ling in 2000 ( 2 ) compared with brouwer ' table of the best known codes , we find more new codes , there are at least 60 new codes under two - dimension cases
其次，结合几何goppa码的构造原理，利用有限域上代数曲线的特点来构造代数几何码，确定了新的代数几何码的码长n和维数k的取值，给出了最小距离d的下限，这类码的特点是： ( 1 )新的代数几何码是几何goppa码和新加坡国立大学chaopingxing和sanling在2000年所构造的代数几何码的推广； ( 2 )这类码中有许多种码的参数优于brouwer码表，仅二维情形时，就有60多种码优于brouwer码表。