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Recursively Generated Periodic Sequences

Published online by Cambridge University Press:  20 November 2018

R. P. Kurshan  and
B. Gopinath
R. P. Kurshan
Affiliation:
Bell Laboratories, Murray Hill, New Jersey
B. Gopinath
Affiliation:
Bell Laboratories, Murray Hill, New Jersey
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A sequence (xn) (n = 1, 2, . . .) is periodic if xn+p = xn for some p and all n. Periodic sequences arise naturally in geometry and arithmetic in the study of mosaic patterns [4], continued fractions and frieze patterns [3; 5]. Some digital oscillators and tone generators also generate periodic sequences. In these cases one computes the period p of the sequence in question. On the other hand, in pseudo random sequences and cryptography [8] it is required to recursively generate sequences of large periods.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 6 , December 1974 , pp. 1356 - 1371
Copyright
Copyright © Canadian Mathematical Society 1974

References

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