Kasatkina Yu.S., Kasatkina А.S. On the Constuction of Subcodes of Low Weight of a Rational Goppa Code

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https://doi.org/10.15688/mpcm.jvolsu.2019.3.2

Yuliya Sergeevna Kasatkina
Lecturer, Department of Economics and Information Technology,
RANEPA (west branch)
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ul. Artilleriyskaya, 18, 236016 Kaliningrad, Russian Federation

Anna Sergeevna Kasatkina
Lecturer, Department of Economics and Information Technology,
RANEPA (west branch)
This email address is being protected from spambots. You need JavaScript enabled to view it.
ul. Artilleriyskaya, 18, 236016 Kaliningrad, Russian Federation

Abstract. We consider the class of rational Goppa codes which is closely related to classical Goppa codes. In this paper, we study structure of subcodes of low weight of such rational Goppa codes. Firstly, we review some properties of rational Goppa codes. Finally, we analyze, in the term of divisors, construction of subcodes of low weight. Our analysis is based on the knowledge of weight hierarchy of codes.

Key words: geometric Goppa code, generalized Hemming weight of the code, weight hierarchy, subcode of low weight.Bessel function.

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On the Constuction of Subcodes of Low Weight of a Rational Goppa Code by Kasatkina Yu.S., Kasatkina А.S. is licensed under a Creative Commons Attribution 4.0 International License.

 

Citation in English: Mathematical Physics and Computer Simulation. Vol. 22 No. 3 2019, pp. 26-30

 

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