Números binários, corpos finitos e divisão polinomial, construindo um QR Code

Through a bibliographical review, we present all the processes of how a QR Code model 1, version 1, is made and the mathematical theories involved, making it possible to create a functional QR Code. We comment on how to write the data in the form of binary numbers, the correspondence between writing a number in base ten and in base two (binary). We emphasize the subject of finite fields, with a polynomial view, this subject being necessary to write the error correcting code data into a QR Code.

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Publication Details

Journal
BRAZILIAN ELECTRONIC JOURNAL OF MATHEMATICS
Published
2025-05-28
DOI
https://doi.org/10.14393/bejom-v6-2025-74898
Primary Topic
Education and Digital Technologies
Type
article
Field-Weighted Citation Impact
0.00
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article

Números binários, corpos finitos e divisão polinomial, construindo um QR Code

José Laudelino de Menezes Neto
BRAZILIAN ELECTRONIC JOURNAL OF MATHEMATICS
Education and Digital Technologies
article

Números binários, corpos finitos e divisão polinomial, construindo um QR Code

José Laudelino de Menezes Neto
article en

Abstract

Through a bibliographical review, we present all the processes of how a QR Code model 1, version 1, is made and the mathematical theories involved, making it possible to create a functional QR Code. We comment on how to write the data in the form of binary numbers, the correspondence between writing a number in base ten and in base two (binary). We emphasize the subject of finite fields, with a polynomial view, this subject being necessary to write the error correcting code data into a QR Code.

BRAZILIAN ELECTRONIC JOURNAL OF MATHEMATICSVol. 6
Universidade Federal da Paraíba (BR)
Openalex Percentile: Top 84%
Education and Digital Technologies
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