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Perfect codes from integer rings

Grant number: 19/06236-2
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): June 01, 2019
Effective date (End): May 31, 2020
Field of knowledge:Engineering - Electrical Engineering - Telecommunications
Principal Investigator:Edson Donizete de Carvalho
Grantee:Lumi dos Santos Aikawa
Home Institution: Faculdade de Engenharia (FEIS). Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Ilha Solteira , SP, Brazil

Abstract

Firstly, we focusing on the study of Gauss integer ring, Einstein Jacobi integer ring, linear codes and perfect codes. From there, we built perfect codes from Gauss integer ring, Einstein Jacobi integer ring,