Actions of E-dense semigroups and an application to the discrete log problem
Actions of E-dense semigroups and an application to the discrete log problem
We describe the structure of E-dense acts over E-dense semigroups in an analogous way to that for inverse semigroup acts over inverse semigroups. This is based, to a large extent, on the work of Schein on representations of inverse semigroups by partial one-to-one maps. We consider an application to the discrete log problem in cryptography as well as an application to the same problem using completely regular semigroups.
E-dense semigroup, discrete log
1-25
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
Renshaw, James
(2017)
Actions of E-dense semigroups and an application to the discrete log problem
Southampton.
arXiv
25pp.
(In Press)
Record type:
Monograph
(Working Paper)
Abstract
We describe the structure of E-dense acts over E-dense semigroups in an analogous way to that for inverse semigroup acts over inverse semigroups. This is based, to a large extent, on the work of Schein on representations of inverse semigroups by partial one-to-one maps. We consider an application to the discrete log problem in cryptography as well as an application to the same problem using completely regular semigroups.
Text
discretelog
- Author's Original
More information
Submitted date: 20 December 2017
Accepted/In Press date: 20 December 2017
Keywords:
E-dense semigroup, discrete log
Identifiers
Local EPrints ID: 416523
URI: http://eprints.soton.ac.uk/id/eprint/416523
PURE UUID: a47e0303-1e22-485a-b349-e824828daec5
Catalogue record
Date deposited: 21 Dec 2017 17:30
Last modified: 16 Mar 2024 02:39
Export record
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
