Application of hourglass matrix in Goldreich-Goldwasser-Halevi encryption scheme

Olayiwola  Babarinsa; Olalekan Ihinkalu; Veronica Cyril-Okeme; Hailiza  Kamarulhaili; Arif Mandangan; Azfi Zaidi Mohammad  Sofi; Akeem B.  Disu

doi:10.46481/jnsps.2022.874

Authors

Olayiwola Babarinsa Department of Mathematics, Federal University Lokoja, Kogi State, Nigeria
Olalekan Ihinkalu Department of Computer Sciences, Federal University Lokoja, Kogi State, Nigeria
Veronica Cyril-Okeme
[email protected]
Department of Mathematics, Federal University Lokoja, Kogi State, Nigeria
Hailiza Kamarulhaili School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Pulau Pinang, Malaysia
Arif Mandangan Faculty of Science and Natural Resources, Universiti Malaysia Sabah, 88400 Kota Kinabalu, Malaysia
Azfi Zaidi Mohammad Sofi Faculty of Bioengineering & Technology, Universiti Malaysia Kelantan, 16100 Kota Bharu, Malaysia
Akeem B. Disu Department of Mathematics, National Open University of Nigeria, Abuja, Nigeria

Keywords:

Goldreich-Goldwasser-Halevi encryption scheme, Hourglass matrix, Quadrant interlocking factorization.

Abstract

Goldreich-Goldwasser-Halevi (GGH) encryption scheme is lattice-based cryptography with its security based on the shortest vector problem (SVP) and closest vector problem (CVP) with immunity to almost all attacks, including Shor's quantum algorithm and Nguyen's attack of higher lattice dimension. To improve the efficiency and security of the GGH Scheme by reducing the size of the public basis to be transmitted, we use an hourglass matrix obtained from quadrant interlocking factorization as a public key. The technique of quadrant interlocking factorization to yield a nonsingular hourglass matrix compensates the encryption scheme with better efficiency and security.

Dimensions

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