AG-code与3属最大曲线的最小距离分析

IF 0.2 Q4 MATHEMATICS, APPLIED
E. Malygina, Artem A. Kuninets
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引用次数: 0

摘要

研究一类与第三类极大曲线相关的代数几何码。利用功能场的仪器,建立了代码构建中所涉及的除数的类型和度数,在此基础上确定了代码是否是MDS代码。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analysis of minimal distance of AG-code associated with maximal curve of genus three
A class of algebro-geometric codes associated with a maximal curve of the third kind is considered. Using the apparatus of functional fields, the type and degree of divisors involved in the construction of the code are established, under which the code is or is not an MDS code.
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来源期刊
Prikladnaya Diskretnaya Matematika
Prikladnaya Diskretnaya Matematika MATHEMATICS, APPLIED-
CiteScore
0.60
自引率
50.00%
发文量
0
期刊介绍: The scientific journal Prikladnaya Diskretnaya Matematika has been issued since 2008. It was registered by Federal Control Service in the Sphere of Communications and Mass Media (Registration Witness PI № FS 77-33762 in October 16th, in 2008). Prikladnaya Diskretnaya Matematika has been selected for coverage in Clarivate Analytics products and services. It is indexed and abstracted in SCOPUS and WoS Core Collection (Emerging Sources Citation Index). The journal is a quarterly. All the papers to be published in it are obligatorily verified by one or two specialists. The publication in the journal is free of charge and may be in Russian or in English. The topics of the journal are the following: 1.theoretical foundations of applied discrete mathematics – algebraic structures, discrete functions, combinatorial analysis, number theory, mathematical logic, information theory, systems of equations over finite fields and rings; 2.mathematical methods in cryptography – synthesis of cryptosystems, methods for cryptanalysis, pseudorandom generators, appreciation of cryptosystem security, cryptographic protocols, mathematical methods in quantum cryptography; 3.mathematical methods in steganography – synthesis of steganosystems, methods for steganoanalysis, appreciation of steganosystem security; 4.mathematical foundations of computer security – mathematical models for computer system security, mathematical methods for the analysis of the computer system security, mathematical methods for the synthesis of protected computer systems;[...]
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