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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 2010 Volume 46, Issue 3, Pages 51–59 (Mi ppi2021)

This article is cited in 9 papers

Coding Theory

A class of injective compressing maps on linear recurring sequences over a Galois ring

D. N. Bylkov


Abstract: We consider pseudorandom sequences $v$ over a field $GF(p^r)$ obtained by mapping $\ell$-grams of a linear recurring sequence $u$ over a Galois ring to an arbitrary coordinate set. We study the possibility of uniquely reconstructing $u$ given $v$. Earlier known results are briefly overviewed.

UDC: 621.391.1+519.7

Received: 24.11.2009
Revised: 11.05.2010


 English version:
Problems of Information Transmission, 2010, 46:3, 245–252

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© Steklov Math. Inst. of RAS, 2026