Algebraic Coding Theory Using Pell Equation x2 − 8y2 = 1

An interdisciplinary field with significant practical use is cryptography. The difficulty of specific mathematical computing tasks affects a public key cryptosystem’s security. The technique for coding and decoding the messages was described in this work, utilising the solutions of Pell equation x2...

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Bibliographic Details
Published in:	Ratio mathematica Vol. 46
Main Authors:	Janaki, G, Gowri, Shankari A
Format:	Journal Article
Language:	English Italian
Published:	Pescara Accademia Piceno Aprutina dei Velati in Teramo (APAV) 01.03.2023 Accademia Piceno Aprutina dei Velati
Subjects:	cryptography encryption-decryption algorithm pell equation q8∗ matrix
ISSN:	1592-7415, 2282-8214
Online Access:	Get full text
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Summary:	An interdisciplinary field with significant practical use is cryptography. The difficulty of specific mathematical computing tasks affects a public key cryptosystem’s security. The technique for coding and decoding the messages was described in this work, utilising the solutions of Pell equation x2 - 8y2 = 1 and matrix Q8∗. It was noted that messages can be turned into an even size that is then divided into slabs.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1592-7415 2282-8214
DOI:	10.23755/rm.v46i0.1062