Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Cube-root-subgroups of SL2 over imaginary quadratic integers
Authors: Miroslav Kureš
Keywords: Imaginary quadratic field, ring of integers, non-elementary matrices, special linear group, public-key cryptography, lattice-based cryptosystems.
– 0.14 Mb
Keywords: Imaginary quadratic field, ring of integers, non-elementary matrices, special linear group, public-key cryptography, lattice-based cryptosystems.
Abstract
All cube roots of the identity in the special linear group of $2\times 2$-matrices with entries in the ring of integers in $\mathbb Q[\sqrt{d}]$ are described. These matrices generate subgroups of the third order; it is shown that such subgroups may contain non-elementary matrices in the sense of P. M. Cohn. All this is viewed with respect to possible applications in lattice cryptography.Brno University of Technology
Technická 2, 61669 Brno, Czechia
Phone: +420 541142714
E-mail:
Technická 2, 61669 Brno, Czechia
Phone: +420 541142714
E-mail:
Fulltext
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Contents
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