Paper 2020/068

Further Clarification on Mantin's Digraph Repetition Bias in RC4

Pranab Chakraborty and Subhamoy Maitra

Abstract

In this paper we provide a theoretical argument towards an unsolved question related to Mantin's ``Digraph Repetition Bias" (Eurocrypt 2005) that is observed in the key-stream of RC4. The open question, that depends on the observation that arrival of four consecutive same bytes (of the form $AAAA$) in RC4 key-stream is slightly negatively biased, was posed by Bricout et al [Des. Codes Cryptogr. (2018) 86:743-770] in 2016. Moreover, for the first time, we consider the ``Reverse Digraph Repetition Bias" and show that there is significant negative bias in arrival of $ABBA$ ($A, B$ two distinct bytes) in RC4 key-stream.

Note: Added a new section on Reverse Digraph Repetition Bias.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint. MINOR revision.
Keywords
RC4Non-randomnessSequenceStream Cipher
Contact author(s)
subho @ isical ac in
History
2020-02-03: revised
2020-01-23: received
See all versions
Short URL
https://ia.cr/2020/068
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2020/068,
      author = {Pranab Chakraborty and Subhamoy Maitra},
      title = {Further Clarification on Mantin's Digraph Repetition Bias in {RC4}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/068},
      year = {2020},
      url = {https://eprint.iacr.org/2020/068}
}
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