Detail publikace

Cube-root-subgroups of SL_2 over imaginary quadratic integers

KUREŠ, M.

Anglický název

Cube-root-subgroups of SL_2 over imaginary quadratic integers

Typ

Článek WoS

Jazyk

en

Originální abstrakt

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.

Klíčová slova anglicky

imaginary quadratic field, ring of integers, non-elementary matrices, special linear group, public key cryptography, lattice based cryptosystems

Vydáno

2021-09-01

Nakladatel

Vladimir Andrunakievich Institute of Mathematics and Computer Science

Místo

Chisinau

ISSN

1561-4042

Časopis

Computer Science Journal of Moldova

Ročník

29

Číslo

2

Strany od–do

227–240

Počet stran

14

BIBTEX


@article{BUT172038,
  author="Miroslav {Kureš}",
  title="Cube-root-subgroups of SL_2 over imaginary quadratic integers",
  journal="Computer Science Journal of Moldova",
  year="2021",
  volume="29",
  number="2",
  pages="227--240",
  issn="1561-4042",
  url="http://www.math.md/publications/csjm/issues/v29-n2/13338/"
}