Algebraic Shift Register Sequences. Mark Goresky and Andrew Klapper. CAMBRIDGE UNIVERSITY PRESS 2012, 514 PAGES. PRICE HARDBACK £60.00 ISBN 978-1-107-01499-2. There are many situations that require sequences with a given set of properties. Shift Register Sequences Mark Goresky. joint with Andrew Klapper Mn−1 an−1 an−2 ··. Algebraic shift registers A setting that includes both LFSR and FCSR and others, e.g. the 2-FCSR involves ramiﬁed extensions of the 2-adic numbers: aa a a qq q q. 作者: Goresky, Mark; Klapper, Andrew; 出版年: 2012-3 页数: 514 定价: $ 96.05 ISBN: 9781107014992. 豆瓣评分. Algebraic Shift Register Sequences的书评 · · · · · · 全部 0 条 在这本书的论坛里发言. Course objectives: to study sequences and feedback shift registers over finite fields,. ``Algebraic Shift Register Sequences'', by Mark Goresky and Andrew Klapper, Cambridge University Press, 2012. ``Shift Register Sequences'', by S. Golomb, Aegean Park Press, 1982.
GORESKY AND KLAPPER: PSEUDONOISE SEQUENCES BASED ON ALGEBRAIC FEEDBACK SHIFT REGISTERS 1651 Supposeasequence ofelementsin hasperiod.These- quence is said to satisfy thebalanceproperty R1 if, for some integer, within a single period every element occurs times or times. Thus, we may take.In particular, if, then and every element occurs times. Pseudo-noise Sequences based on Algebraic Feedback Shift Registers Mark Goresky Member and Andrew Klapper Senior Member Abstract—Over the past half century various statistical prop-erties of pseudorandom sequences have played important roles in a variety of applications. Among these properties are Golomb’s. Cambridge U nive rsit y Pre ss 978-1-107-01499-2 - Algebraic Shift Register Sequences Mark Goresky and Andrew Klapper Index More information Index, in.
Andrew Klapper and Jinzhong Xu∗ Abstract In this paper, we describe a solution to the register synthesis problem for a class of sequence generators known as Algebraic Feedback Shift Registers. These registers are based on the algebra of π-adic numbers, where π is an element in a ring R, and produce sequences of elements in R/π. BibTeX @MISCGoresky09algebraicshift, author = Mark Goresky and Andrew Klapper, title = Algebraic Shift Register Sequences, year = 2009.
Algebraic Shift Register Sequences. [Mark Goresky; Andrew Klapper;] -- Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations. Feedback with carry shift registers FCSRs for short were introduced by Klap-per and Goresky in  see also [12, 18, 19]. They are very similar to classical linear feedback shift registers LFSRs used in many pseudorandom generators. Later Klapper and Xu generalized both LFSRs and FCSRs to algebraic feed-back shift registers AFSRs in . ISBN: 9781107014992 1107014999: OCLC Number: 756281119: Description: xv, 498 pages: illustrations; 26 cm: Contents: 1. Introduction --2.Sequences --3.Linear feedback shift registers and linear recurrences --4.Feedback with carry shift registers and multiply with carry sequences --5.Algebraic feedback shift registers --6. d-FCSRs --7.Galois mode, linear registers, and related circuits --8. Sep 17, 1999 · These registers generalize linear feedback shift registers and feedback with carry shift registers. Basic properties of the output sequences are studied: relations to the algebra of the underlying ring; synthesis of the register from the sequence which has implications for cryptanalysis; and basic statistical properties.
In this paper, we describe a solution to the register synthesis problem for a class of sequence generators known as algebraic feedback shift registers AFSRs. These registers are based on the algebra of π-adic numbers, where π is an element in a ring R, and produce sequences of elements in R/π. We give several cases where the register synthesis problem can be solved by an efficient. Goresky and Klapper: Algebraic Shift Register Sequences pdf. Robert: A Course in p-adic Analysis. Washington: Elliptic Curves - Number Theory and Cryptography. Solinas: Efficient Arithmetic on.
Feedback Shift Register FSR is generally the basic element of pseudo random generators used to generate cryptographic channel or set of sequences for encryption keys. This type of generator is widely used in stream cipher and communication systems such as C.D.M.A Code Division Multiple Access, mobile communication systems, ranging and navigating systems, spread spectrum communication. These registers generalize linear feedback shift registers and feedback with carry shift registers. Basic properties of the output sequences are studied: relations to the algebra of the underlying ring; synthesis of the register from the sequence which has implications for cryptanalysis; and basic statistical properties. Andrew Klapper received the A.B. degree in mathematics from New York University in 1974, the M.S. degree in applied mathematics from SUNY at Binghamton in 1975, the M.S. degree in mathematics from Stanford University in 1976, and the Ph.D. degree in mathematics from Brown University in. That is, the shortest number of steps until the sequence repeats. One important type of pseudorandom sequences is the sequences generated by feedback with carry shift registers FCSRs. In this dissertation, we study statistical properties of N -ary FCSR sequences with odd prime connection integer q and least period q − 1/2. By Andrew Klapper and Jinzhong Xu Abstract In this paper, we describe a solution to the register synthesis problem for a class of sequence generators known as Algebraic Feedback Shift Registers.
Feedback Shift Registers, 2-Adic Span, and Combiners with Memory. Andrew Klapper Mark Goresky. 1996. Algebraic Nonlinearity and Its Applications to Cryptography. Luke O'Connor Andrew Klapper. 1993 FSE. Andrew Klapper Mark Goresky. 1990 EUROCRYPT. Algebraic Shift Register Sequences Mark Goresky and Andrew Klapper $85.00: Hardback: 978-1-107-01499-2: 520 pp. Arithmetic Differential Operators over the p-adic Integers Claire C. Ralph and Santiago R. Simanca London Mathematical Society Lecture Note Series $65.00: Paperback: 978-1-107-67414-1: 152 pp. New in Paperback! Partial Differential. This paper focuses on a method for construction both Galois and Fibonacci p-ary LFSRs. Theorems for the transformations of the primitive polynomial generating the extended Galois field GFp L that need to be done in order to receive the values of the multiplier coefficients of the register’s feedback polynomial are proven. An algorithm for the transformation is proposed.
In this largely expository paper, the authors propose a modification of the multiply-with-carry random number generators of Marsaglia  and Couture and L'Ecuyer  to obtain sequences with maximum period and efficient computability. These generators are analyzed using a simple, but powerful algebraic technique involving b-adic numbers. ↑ M. Goresky and A. Klapper, Algebraic Shift Register Sequences, 2009, ↑ 4.0 4.1 M. Goresky and A. Klapper, Efficient Multiply-with-Carry Random Number Generators with Optimal Distribution Properties, ACM Transactions on Modeling and Computer Simulation, vol 13, pp 310-321, 2003. In sequence design, a Feedback with Carry Shift Register or FCSR is the arithmetic or with carry analog of a Linear feedback shift register LFSR. If > is an integer, then an N-ary FCSR of length is a finite state device with a state ; = , , −; consisting of a vector of elements in , , − = and an integer. The state change operation is determined by a set of coefficients.
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