@article{MVK_2011_2_3_a2,
author = {V. L. Kurakin},
title = {Family of maximal period sequences with low cross-correlation over an 8-element ring},
journal = {Matemati\v{c}eskie voprosy kriptografii},
pages = {47--73},
year = {2011},
volume = {2},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MVK_2011_2_3_a2/}
}
V. L. Kurakin. Family of maximal period sequences with low cross-correlation over an 8-element ring. Matematičeskie voprosy kriptografii, Tome 2 (2011) no. 3, pp. 47-73. http://geodesic.mathdoc.fr/item/MVK_2011_2_3_a2/
[1] Kuzmin A. S., Kurakin V. L., Nechaev A. A., “Psevdosluchainye i polilineinye posledovatelnosti”, Trudy po diskretnoi matematike, 1, TVP, M., 1997, 139–202 | MR | Zbl
[2] Nechaev A. A., Kuzmin A. S., Kurakin V. L., “Strukturnye, analiticheskie i statisticheskie svoistva lineinykh i polilineinykh rekurrent”, Trudy po diskretnoi matematike, 3, Fizmatlit, M., 2000, 155–194
[3] Kuzmin A. S., Kurakin V. L., Nechaev A. A., “Statisticheskie svoistva lineinykh rekurrent nad koltsami Galua i kvazifrobeniusovymi modulyami kharakteristiki 4”, Trudy po diskretnoi matematike, 4, Fizmatlit, M., 2001, 91–128
[4] Nechaev A. A., Kuzmin A. S., Kurakin V. L., “Vpolne ravnomernye lineinye rekurrenty nad koltsami Galua i QF-modulyami kharakteristiki 4”, Trudy po diskretnoi matematike, 5, Fizmatlit, M., 2002, 103–158
[5] Kurakin V. L., “Semeistvo posledovatelnostei nad koltsom iz 8 elementov s nizkoi korrelyatsiei”, Matem. voprosy kriptografii, 1:4 (2010), 85–109
[6] Nechaev A. A., “Kod Kerdoka v tsiklicheskoi forme”, Diskretn. matem., 1:4 (1989), 123–139 | MR | Zbl
[7] Nechaev A. A., “Konechnye kvazifrobeniusovy moduli, prilozheniya k kodam i lineinym rekurrentam”, Fund. i prikl. mat. (TsNIIT MGU), 1:1 (1995), 229–254 | MR | Zbl
[8] Sidelnikov V. M., “O vzaimnoi korrelyatsii posledovatelnostei”, Dokl. AN SSSR, 12 (1971), 197–201
[9] Boztas S., Hammons R., Kumar P. V., “4-phase sequences with near-optimum correlation properties”, IEEE TIT, 38:3 (1992), 1101–1113 | DOI | Zbl
[10] McDonald B. R., Finite rings with identity, Marcel Dekker, New York, 1974 | MR | Zbl
[11] Nechaev A. A., “Finite rings with applications”, Handbook of Algebra, v. 5, Elsevier, 2008, 213–320 | MR | Zbl
[12] Welch L. R., “Lower bounds on the maximum cross correlation of signals”, IEEE TIT, 20:3 (1974), 397–399 | DOI | MR | Zbl