Articolul precedent |
Articolul urmator |
751 4 |
Ultima descărcare din IBN: 2022-04-28 05:57 |
SM ISO690:2012 MOLDOVYAN, Alexandr, MOLDOVYAN, Nikolay, SHCHERBACOV, Victor. Non-commutative 6-dimensional associative algebras of two different types. In: Conference on Mathematical Foundations of Informatics, Ed. 2018, 2-6 iulie 2018, Chișinău. Chișinău: "VALINEX" SRL, 2018, pp. 154-163. ISBN 978‐9975‐4237‐7‐9. |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Conference on Mathematical Foundations of Informatics 2018 | |
Conferința "Conference on Mathematical Foundations of Informatics" 2018, Chișinău, Moldova, 2-6 iulie 2018 | |
|
|
MSC 2010: 16U60, 11G20, 11T71 | |
Pag. 154-163 | |
Descarcă PDF | |
Rezumat | |
This paper introduces two different types of the non-commutative finite associative algebra of 6-dimensional vectors, which have been proposed as potential carriers of the hidden logarithm problem. The algebra of the first type contains global unit, whereas the algebra of the second type contains only local units. It is also introduced two new forms of the hidden logarithm problem. One of the proposed forms is characterized in using non-invertible elements and assumes using the first-type algebra. The second proposed form is characterized in using locally invertible elements and assumes using the second-type algebra. |
|
Cuvinte-cheie finite algebra, asso- ciative multiplication, non-commutative algebra, hidden logarithm problem |
|
|