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@article{PDM_2014_2_a2, author = {E. M. Serebryakov}, title = {Recovery of a~polynomially complicated linear recurring sequence over {Galois} ring by its senior coordinate}, journal = {Prikladna\^a diskretna\^a matematika}, pages = {21--36}, publisher = {mathdoc}, number = {2}, year = {2014}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/PDM_2014_2_a2/} }
TY - JOUR AU - E. M. Serebryakov TI - Recovery of a~polynomially complicated linear recurring sequence over Galois ring by its senior coordinate JO - Prikladnaâ diskretnaâ matematika PY - 2014 SP - 21 EP - 36 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PDM_2014_2_a2/ LA - ru ID - PDM_2014_2_a2 ER -
E. M. Serebryakov. Recovery of a~polynomially complicated linear recurring sequence over Galois ring by its senior coordinate. Prikladnaâ diskretnaâ matematika, no. 2 (2014), pp. 21-36. http://geodesic.mathdoc.fr/item/PDM_2014_2_a2/
[1] Kuzmin A. S., Marshalko G. B., Nechaev A. A., “Vosstanovlenie lineinoi rekurrenty nad primarnym koltsom vychetov po eë uslozhneniyu”, Matematicheskie voprosy kriptografii, 1:2 (2010), 31–56
[2] Bylkov D. N., “Klass uslozhnenii lineinykh rekurrent nad koltsom Galua, ne privodyaschii k potere informatsii”, Problemy peredachi informatsii, 46:3 (2010), 51–59 | MR | Zbl
[3] Tian T., Wen-Feng Q., “Injectivity of compressing map on primitive sequences over $\mathbb Z/(p^e)$”, IEEE Trans. Inform. Theory, 53:8 (2007), 2960–2966 | DOI | MR
[4] Xuan-Yong Z., Wen-Feng Q., “Uniqueness of the distribution of zeros of primitive level sequences over $\mathbb Z/(p^e)$”, Finite Fields Their Appl., 11:1 (2005), 30–44 | DOI | MR | Zbl
[5] Xuan-Yong Z., Wen-Feng Q., “Compression mappings on primitive sequences over $\mathbb Z/(p^e)$”, IEEE Trans. Inform. Theory, 50:10 (2004), 2442–2448 | DOI | MR
[6] Xuan-Yong Z., Wen-Feng Q., “Further result of compressing maps on primitive sequences modulo odd prime powers”, IEEE Trans. Inform. Theory, 53:8 (2007), 2985–2990 | DOI | MR
[7] Nechaev A. A., “Kod Kerdoka v tsiklicheskoi forme”, Diskretnaya matematika, 1:4 (1989), 123–139 | MR | Zbl
[8] Kuzmin A. S., Nechaev A. A., “Lineinye rekurrentnye posledovatelnosti nad koltsami Galua”, Algebra i logika, 3:2 (1995), 169–189 | MR
[9] Nechaev A. A., “Tsiklovye tipy lineinykh podstanovok nad konechnymi kommutativnymi lokalnymi koltsami”, Matematich. sb., 184:3 (1993), 21–56 | MR | Zbl
[10] Kuzmin A. S., Nechaev A. A., “Vosstanovlenie lineinoi rekurrentnoi posledovatelnosti nad koltsom Galua po eë starshei koordinatnoi posledovatelnosti”, Diskretnaya matematika, 23:2 (2011), 3–31 | DOI | MR | Zbl
[11] Kuzmin A. S., Kurakin V. L., Nechaev A. A., “Psevdosluchainye i polilineinye posledovatelnosti”, Trudy po diskretnoi matematike, 1, 1997, 139–202 | MR | Zbl
[12] Kurakin V. L., “Funktsiya perenosa v pervyi razryad v koltse Galua”, Diskretnaya matematika, 24:2 (2012), 21–36 | DOI | MR | Zbl
[13] Kurakin V. L., “Predstavleniya nad koltsom $\mathbb Z_{p^n}$ lineinoi rekurrentnoi posledovatelnosti maksimalnogo perioda nad polem $\mathrm{GF}(p)$”, Diskretnaya matematika, 4:4 (1992), 96–116 | MR | Zbl
[14] Glukhov M. M., Elizarov V. P., Nechaev A. A., Algebra, v. 2, Gelios, M., 2003