Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Correlation matrices
- 3 Optimization of linear trails
- 4 Statistics of linear cryptanalysis
- 5 Key-recovery techniques
- 6 Multiple linear cryptanalysis
- 7 Optimal statistical testing
- 8 Zero-correlation approximations
- 9 Miscellaneous extensions
- 10 Functions on Abelian groups
- 11 Geometric approach
- Appendix A Normal distribution
- Appendix B Statistical formulary
- Appendix C List of block ciphers
- References
- Index
7 - Optimal statistical testing
Published online by Cambridge University Press: 17 December 2025
Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Correlation matrices
- 3 Optimization of linear trails
- 4 Statistics of linear cryptanalysis
- 5 Key-recovery techniques
- 6 Multiple linear cryptanalysis
- 7 Optimal statistical testing
- 8 Zero-correlation approximations
- 9 Miscellaneous extensions
- 10 Functions on Abelian groups
- 11 Geometric approach
- Appendix A Normal distribution
- Appendix B Statistical formulary
- Appendix C List of block ciphers
- References
- Index
Summary
In the previous chapters, and in Chapters 4 and 6 in particular, we already encountered methods for testing hypotheses. We used these statistical tests to determine if a given empirical correlation corresponds to the real key, or to an incorrect key. This chapter takes a more systematic look at statistical testing and derives methods that are—in some particular sense—best possible.
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- Information
- Linear Cryptanalysis , pp. 91 - 106Publisher: Cambridge University PressPrint publication year: 2025
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