Use of the estimated critical values adapting a regression equation for the approximate entropy test

  • Published : 2002.10.31

Abstract

The statistical testing methods have been widely recognized to determine the plain and cipher texts. In fact, the randomness for a sequence from an encryption algorithm is necessary to guarantee security and reliance of cipher algorithm. Thus, the statistical randomness tests are used to discover cipher text. In this paper, we would provide the critical value for an approximate entropy test by estimating the nonlinear regression equation when the number of sequence and the level of significance are given. Thus, we can discern plan and cipher text for real problem with given number of sequence and the level of significance. Also, we confirm the fitness of the estimated critical values from the rate of success for plain or cipher text.

Keywords

References

  1. 통신정보보호학회논문지 v.19 no.4 실험계획법을 이용한 평문, 암호문, 식별방법의 검정크기에 관한 연구 박홍구;차경준;장호종;송정환;박성준
  2. 암호통신문 탐지기술 연구 및 S/W 개발 한국정보보호진흥원
  3. 현대암호학 한국전자 통신연구소
  4. Cipher System: The Protection of Communications Beker, H.;Piper, F.
  5. Commun. Statist.-Theory Meth. v.29 no.3 An approximate entropy test for randomness Chartterjee, S.;Yilmaz, M.R.;Habibullah, M.;Laudato, M.;Laudato, M.
  6. Data Encryption Standard, Federal Information Processing Standard(FIPS) Publication National Bureau of Standards FIPS
  7. Nonparametric Stational Inference (2nd edition) Gibbons, J. D.
  8. Proceedings of the Cambridge Philosophical Society v.49 The Serial Test for Sampling Numbers and Other Tests for Randomness Good, I. J.
  9. Annals of Mathematical Statistics v.28 On the Serial Test for Random Sequences Good, I. J.
  10. Journal of Cryptology v.5 no.2 A universal statistical test for random bit generator Maurer, U. M.
  11. Annals of Mathematical Statistics v.11 The distribution Theory of Runs Mood, A. M.
  12. Proceedings of the National Academy of Sciences v.88 Approximate entropy as a measure of system complexity Pincus, S.
  13. Proceedings of the National Academy of Sciences v.93 Randomness and degrees of irregularity Pincus, S.;Singer, B. H.
  14. Journal of Applied Probability v.37 Approximate entropy for testing randomness Rukhin, A.
  15. Handbook of Parametric and Nonparametric Statistical Procedures Sheskin, D. J.