Non-commutative finite groups as primitive of public key cryptosystems
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2023-09-16 13:38
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MOLDOVYAN, Dmitriy. Non-commutative finite groups as primitive of public key cryptosystems. In: Quasigroups and Related Systems, 2010, vol. 18, nr. 2(24), pp. 165-176. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 18, Numărul 2(24) / 2010 / ISSN 1561-2848

Non-commutative finite groups as primitive of public key cryptosystems

Pag. 165-176

Moldovyan Dmitriy
 
Russian Academy of Sciences
 
 
Disponibil în IBN: 16 decembrie 2013


Rezumat

A new computationally dicult problem dene over non-commutative nite groups is proposed as cryptographic primitive. Finite non-commutative rings of the four-dimension vectors over the ground eld are dened with the vector multiplication operations of dierent types. Non-commutative multiplicative groups of the rings are applied to design public key cryptoschemes based on the proposed dicult problem.

Cuvinte-cheie
dificult problem, non-commutative group, public key distribution,

automorphism, finite group

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<dc:creator>Moldovyan, D.N.</dc:creator>
<dc:date>2010-08-03</dc:date>
<dc:description xml:lang='en'>A new computationally dicult problem dene over non-commutative
nite groups is proposed as cryptographic primitive. Finite non-commutative rings of the four-dimension vectors over the ground eld are dened with the vector multiplication operations of dierent types. Non-commutative multiplicative groups of the rings are
applied to design public key cryptoschemes based on the proposed dicult problem.</dc:description>
<dc:source>Quasigroups and Related Systems 24 (2) 165-176</dc:source>
<dc:subject>dificult problem</dc:subject>
<dc:subject>automorphism</dc:subject>
<dc:subject>non-commutative group</dc:subject>
<dc:subject>finite group</dc:subject>
<dc:subject>public key distribution</dc:subject>
<dc:title>Non-commutative finite groups as primitive of public key cryptosystems</dc:title>
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