DocumentCode :
938958
Title :
Algorithms for the generation of full-length shift- register sequences
Author :
Etzion, Tuvi ; Lempel, Abraham
Volume :
30
Issue :
3
fYear :
1984
fDate :
5/1/1984 12:00:00 AM
Firstpage :
480
Lastpage :
484
Abstract :
Two algorithms are presented for the generation of full-length shift-register cycles, also referred to as de Bruijn sequences. The first algorithm generates 2^{k \\cdot g(n,k)} full cycles of length 2^{n} , using 3n + k \\cdot g(n, k) bits of storage, where k is a free parameter in the range 1 \\leq k \\leq 2^{((n-4)/2)} , and g(n, k) is of the order of n - 2 \\log k . The second algorithm generates about 2^{n^{2}/4} full cycles of length 2^{n} , using about n^{2}/2 bits of storage. In both algorithms, the time required to produce the next bit from the last n bits is close to n . A possible application to the construction of stream ciphers is indicated.
Keywords :
Shift-register sequences; Computer science; Cryptography; Registers; State feedback;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1984.1056919
Filename :
1056919
Link To Document :
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