Publication detail

Cube-root-subgroups of SL_2 over imaginary quadratic integers

KUREŠ, M.

Original Title

Cube-root-subgroups of SL_2 over imaginary quadratic integers

Type

journal article in Web of Science

Language

English

Original 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.

Keywords

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

Authors

KUREŠ, M.

Released

1. 9. 2021

Publisher

Vladimir Andrunakievich Institute of Mathematics and Computer Science

Location

Chisinau

ISBN

1561-4042

Periodical

Computer Science Journal of Moldova

Year of study

29

Number

2

State

Republic of Moldova

Pages from

227

Pages to

240

Pages count

14

URL

http://www.math.md/publications/csjm/issues/v29-n2/13338/

Full text in the Digital Library

http://hdl.handle.net/11012/201633

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/"
}