Sojourn time test for maximum-length linearly recurring sequences with characteristic primitive trinomials.

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  • TAKASHIMA K.
    Division of Mathematical Sciences, Osaka Kyoiku University

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Abstract

A new statistical test for random number generators is introduced, which is based on simulations of the arc sine law for sojourn times of 1-dimensional random walks. Results of the tests for maximum-length linearly recurring sequences with characteristic primitive trinomial show statistical biases of those sequences explicitly, when the length of sample paths used in the test is somewhat longer than the degree of the characteristic trinomials.

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  • CRID
    1573668926697736832
  • NII Article ID
    110001235613
  • NII Book ID
    AA10823693
  • ISSN
    09152350
  • Text Lang
    en
  • Data Source
    • CiNii Articles

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