Maximal and minimal representations over the Galois ring for the linear recurrent maximal period sequence over the Galois field
Matematičeskie voprosy kriptografii, Tome 3 (2012) no. 4, pp. 5-23
Cet article a éte moissonné depuis la source Math-Net.Ru
The representations over the Galois ring of the linear recurrent maximal period sequence over the Galois field are considered. Criteria of maximality and minimality of ranks of these representations are described.
@article{MVK_2012_3_4_a0,
author = {R. V. Bogonatov},
title = {Maximal and minimal representations over the {Galois} ring for the linear recurrent maximal period sequence over the {Galois} field},
journal = {Matemati\v{c}eskie voprosy kriptografii},
pages = {5--23},
year = {2012},
volume = {3},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MVK_2012_3_4_a0/}
}
TY - JOUR AU - R. V. Bogonatov TI - Maximal and minimal representations over the Galois ring for the linear recurrent maximal period sequence over the Galois field JO - Matematičeskie voprosy kriptografii PY - 2012 SP - 5 EP - 23 VL - 3 IS - 4 UR - http://geodesic.mathdoc.fr/item/MVK_2012_3_4_a0/ LA - ru ID - MVK_2012_3_4_a0 ER -
%0 Journal Article %A R. V. Bogonatov %T Maximal and minimal representations over the Galois ring for the linear recurrent maximal period sequence over the Galois field %J Matematičeskie voprosy kriptografii %D 2012 %P 5-23 %V 3 %N 4 %U http://geodesic.mathdoc.fr/item/MVK_2012_3_4_a0/ %G ru %F MVK_2012_3_4_a0
R. V. Bogonatov. Maximal and minimal representations over the Galois ring for the linear recurrent maximal period sequence over the Galois field. Matematičeskie voprosy kriptografii, Tome 3 (2012) no. 4, pp. 5-23. http://geodesic.mathdoc.fr/item/MVK_2012_3_4_a0/
[1] Bogonatov R. V., “Predstavlenie nad koltsom Galua lineinoi rekurrentnoi posledovatelnosti nad polem Galua”, Diskretnaya matematika, 19:1 (2007), 141–157 | DOI | MR | Zbl
[2] Kurakin V. L., “Predstavleniya nad koltsom $\mathbb Z_{p^n}$ lineinoi rekurrentnoi posledovatelnosti maksimalnogo perioda nad polem $GF(p)$”, Diskretnaya matematika, 4:4 (1992), 96–116 | MR | Zbl
[3] Lidl R., Niderraiter G., Konechnye polya, Mir, M., 1988, 818 pp. | MR | Zbl
[4] Nechaev A. A., “Kod Kerdoka v tsiklicheskoi forme”, Diskretnaya matematika, 1:4 (1989), 123–139 | MR | Zbl
[5] Sachkov V. N., Vvedenie v kombinatornye metody diskretnoi matematiki, Nauka, M., 1982, 384 pp. | MR | Zbl