Geodesic
Structure peculiarities of the finite vector groups and their use in the cryptoscheme design
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2011), pp. 84-93

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Its is shown that problem of finding discrete logarithm to the multi-dimension base is an attractive primitive for designing fast signature schemes using computations in the finite vector groups. Other introduced primitive called problem of finding discrete logarithm in a hidden cyclic subgroup of the finite non-commutative group represents interest for designing fast public key agreement protocols and commutative encryption algorithms. For implementing such cryptoschemes finite non-commutative groups of four dimension vectors are proposed.
Keywords: digital signature, discrete logarithm problem, commutative encryption, finite group, noncommutative group, vector group, multidimension cyclicity. 
@article{VSPUI_2011_4_a8,
     author = {D. N. Moldovyan and N. A. Moldovyan},
     title = {Structure peculiarities of the finite vector groups and their use in the cryptoscheme design},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {84--93},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2011_4_a8/}
}
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D. N. Moldovyan; N. A. Moldovyan. Structure peculiarities of the finite vector groups and their use in the cryptoscheme design. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2011), pp. 84-93. http://geodesic.mathdoc.fr/item/VSPUI_2011_4_a8/