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612-822-4611
Feedback with Carry Shift Registers

Feedback with Carry Shift Registers

Paperback

General Computers

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ISBN10: 6132927883
ISBN13: 9786132927880
Publisher: Vdm Verlag Dr Mller Ag & Co Kg
Pages: 140
Weight: 0.47
Height: 0.33 Width: 9.02 Depth: 6.00
Language: English
PMHigh Quality Content by WIKIPEDIA articles! 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 N >1 is an integer, then an N-ary FCSR of length r is a finite state device with a state (a;z) = (a0,a1,...,ar-1;z) consisting of a vector of elements ai in {0,1,...,N-1}=S and an integer z. The state change operation is determined by a set of coefficients q1,...,qn and is defined as follows: compute s = qra0+qr-1a1+..+q1ar-1 + z. Express s as s = ar+Nz' with ar in S. Then the new state is (a1,a2,...,ar;z'). By iterating the state change an FCSR generates an infinite, eventually period sequence of numbers in S. FCSRs have been used in the design of stream ciphers (such as the F-FCSR generator), in the cryptanalyis of the summation combiner stream cipher (the reason Goresky and Klapper invented them), and in generating pseudorandom numbers for quasi-Monte Carlo (under the name Multiply With Carry (MWC) generator - invented by Couture and L'Ecuyer[2], generalizing work of Marsaglia and Zama

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General Computers