Encryption with Key stream via Short vectors

P. Anuradha Kameswari¹ , S B T Sundari Katakam²

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.3 , pp.115-120, Jun-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i3.115120

Online published on Jun 30, 2019

Copyright © P. Anuradha Kameswari , S B T Sundari Katakam . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper we describe a cryptosystem with keystream for Encryption, based on concatenation of short vectors of lattices corresponding to quadratic forms, that are good rational approximations of √z, for z a non-perfect square number. This cryptosystem is employed by both Symmetric key and Public key cryptosystem that is based on the hard mathematical problem of retrieving an irrational number from the convergents obtained as short vectors.

Key-Words / Index Term :
Encryption, key stream, short vector, LLL algorithm, Lattice reduction, quadratic form

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