Article | Proceedings of the 2nd International Conference on Historical Cryptology, HistoCrypt 2019, June 23-26, 2019, Mons, Belgium | Decrypting the Hill Cipher via a Restricted Search over the Text-Space Linköping University Electronic Press Conference Proceedings
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Title:
Decrypting the Hill Cipher via a Restricted Search over the Text-Space
Author:
Florent Dewez: INRIA, Modal team-project, Lille-Nord Europe research center, France Valentin Montmirail: Universite Cote dAzur, I3S, CNRS, Nice, France
Download:
Full text (pdf)
Year:
2019
Conference:
Proceedings of the 2nd International Conference on Historical Cryptology, HistoCrypt 2019, June 23-26, 2019, Mons, Belgium
Issue:
158
Article no.:
002
Pages:
13-22
No. of pages:
10
Publication type:
Abstract and Fulltext
Published:
2019-06-12
ISBN:
978-91-7685-087-9
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Series:
NEALT Proceedings Series
Publisher:
Linköping University Electronic Press, Linköpings universitet


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Developed by L. S. Hill in 1929, the Hill cipher is a polygraphic substitution cipher based on matrix multiplication. This cipher has been proved vulnerable to many attacks, especially the known-plaintext attack, while only few ciphertext-only attacks have been developed. The aim of our work is to study a new kind of ciphertext-only attack for the Hill cipher which is based on a restricted search over an explicit set of texts, called orbits, and not on a search over the key-space; it is called Orbit-Based Attack (OBA). To explain in a convenient setting this approach, we make use of basic notions from group action theory; we present then in details an algorithm for this attack and finally results from experiments. We demonstrate experimentally that this new method can be efficient in terms of time-execution and can even be faster on average than the classical Brute-Force Attack in the considered settings.

Keywords: Hill Cipher Group Action Theory Experiments Ciphertext-only Attack

Proceedings of the 2nd International Conference on Historical Cryptology, HistoCrypt 2019, June 23-26, 2019, Mons, Belgium

Author:
Florent Dewez, Valentin Montmirail
Title:
Decrypting the Hill Cipher via a Restricted Search over the Text-Space
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Proceedings of the 2nd International Conference on Historical Cryptology, HistoCrypt 2019, June 23-26, 2019, Mons, Belgium

Author:
Florent Dewez, Valentin Montmirail
Title:
Decrypting the Hill Cipher via a Restricted Search over the Text-Space
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Last updated: 2019-10-02