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A CF-Based Randomness Measure for Sequences

Discrete Mathematics 2010-04-01 v1

Abstract

This note examines the question of randomness in a sequence based on the continued fraction (CF) representation of its corresponding representation as a number, or as D sequence. We propose a randomness measure that is directly equal to the number of components of the CF representation. This provides a means of quantifying the randomness of the popular PN sequences as well. A comparison is made of representation as a fraction and as a continued fraction.

Cite

@article{arxiv.1003.6069,
  title  = {A CF-Based Randomness Measure for Sequences},
  author = {Anvesh Aileni},
  journal= {arXiv preprint arXiv:1003.6069},
  year   = {2010}
}

Comments

8 pages

R2 v1 2026-06-21T15:05:03.712Z