Fast cryptanalysis of the Matsumoto-Imai public key scheme

P. Delsarte; Y. Desmedt; A. Odlyzko; P. Piret

doi:10.1007/3-540-39757-4_14

Fast cryptanalysis of the Matsumoto-Imai public key scheme

P. Delsarte, Y. Desmedt, A. Odlyzko, P. Piret

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

6 Scopus citations

Abstract

The Matsumoto-Imai public key scheme was developed to provide very fast signatures. It is based on substitution polynomials over GF(2^m). This paper shows in two ways that the Matsumoto-Imai public key scheme is very easy to break. In the faster of the two attacks the time to cryptanalyze the scheme is about proportional to the binary length of the public key. This shows that Matsumoto and Imai greatly overestimated the security of their scheme.

Original language	English (US)
Title of host publication	Advances in Cryptology
Subtitle of host publication	Proceedings of EUROCRYPT 1984 - A Workshop on the Theory and Application of Cryptographic Techniques
Editors	Ingemar Ingemarsson, Norbert Cot, Thomas Beth
Publisher	Springer Verlag
Pages	142-149
Number of pages	8
ISBN (Print)	9783540160762
DOIs	https://doi.org/10.1007/3-540-39757-4_14
State	Published - 1985
Event	Workshop on the Theory and Application of Cryptographic Techniques, EUROCRYPT 1984 - Paris, France Duration: Apr 9 1984 → Apr 11 1984

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	209 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	Workshop on the Theory and Application of Cryptographic Techniques, EUROCRYPT 1984
Country/Territory	France
City	Paris
Period	4/9/84 → 4/11/84

Bibliographical note

Publisher Copyright:
© 1985, Springer-Verlag Berlin Heidelberg.

Access

10.1007/3-540-39757-4_14

OpenUrl availability

Full text

Cite this

Delsarte, P., Desmedt, Y., Odlyzko, A., & Piret, P. (1985). Fast cryptanalysis of the Matsumoto-Imai public key scheme. In I. Ingemarsson, N. Cot, & T. Beth (Eds.), Advances in Cryptology: Proceedings of EUROCRYPT 1984 - A Workshop on the Theory and Application of Cryptographic Techniques (pp. 142-149). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 209 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-39757-4_14

Fast cryptanalysis of the Matsumoto-Imai public key scheme. / Delsarte, P.; Desmedt, Y.; Odlyzko, A. et al.
Advances in Cryptology: Proceedings of EUROCRYPT 1984 - A Workshop on the Theory and Application of Cryptographic Techniques. ed. / Ingemar Ingemarsson; Norbert Cot; Thomas Beth. Springer Verlag, 1985. p. 142-149 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 209 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Delsarte, P, Desmedt, Y, Odlyzko, A & Piret, P 1985, Fast cryptanalysis of the Matsumoto-Imai public key scheme. in I Ingemarsson, N Cot & T Beth (eds), Advances in Cryptology: Proceedings of EUROCRYPT 1984 - A Workshop on the Theory and Application of Cryptographic Techniques. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 209 LNCS, Springer Verlag, pp. 142-149, Workshop on the Theory and Application of Cryptographic Techniques, EUROCRYPT 1984, Paris, France, 4/9/84. https://doi.org/10.1007/3-540-39757-4_14

Delsarte P, Desmedt Y, Odlyzko A, Piret P. Fast cryptanalysis of the Matsumoto-Imai public key scheme. In Ingemarsson I, Cot N, Beth T, editors, Advances in Cryptology: Proceedings of EUROCRYPT 1984 - A Workshop on the Theory and Application of Cryptographic Techniques. Springer Verlag. 1985. p. 142-149. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-39757-4_14

Delsarte, P. ; Desmedt, Y. ; Odlyzko, A. et al. / Fast cryptanalysis of the Matsumoto-Imai public key scheme. Advances in Cryptology: Proceedings of EUROCRYPT 1984 - A Workshop on the Theory and Application of Cryptographic Techniques. editor / Ingemar Ingemarsson ; Norbert Cot ; Thomas Beth. Springer Verlag, 1985. pp. 142-149 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{6cfe996327a446119d8ac5372f8c9e11,

title = "Fast cryptanalysis of the Matsumoto-Imai public key scheme",

abstract = "The Matsumoto-Imai public key scheme was developed to provide very fast signatures. It is based on substitution polynomials over GF(2m). This paper shows in two ways that the Matsumoto-Imai public key scheme is very easy to break. In the faster of the two attacks the time to cryptanalyze the scheme is about proportional to the binary length of the public key. This shows that Matsumoto and Imai greatly overestimated the security of their scheme.",

author = "P. Delsarte and Y. Desmedt and A. Odlyzko and P. Piret",

note = "Publisher Copyright: {\textcopyright} 1985, Springer-Verlag Berlin Heidelberg.; Workshop on the Theory and Application of Cryptographic Techniques, EUROCRYPT 1984 ; Conference date: 09-04-1984 Through 11-04-1984",

year = "1985",

doi = "10.1007/3-540-39757-4_14",

language = "English (US)",

isbn = "9783540160762",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "142--149",

editor = "Ingemar Ingemarsson and Norbert Cot and Thomas Beth",

booktitle = "Advances in Cryptology",

}

TY - GEN

T1 - Fast cryptanalysis of the Matsumoto-Imai public key scheme

AU - Delsarte, P.

AU - Desmedt, Y.

AU - Odlyzko, A.

AU - Piret, P.

PY - 1985

Y1 - 1985

N2 - The Matsumoto-Imai public key scheme was developed to provide very fast signatures. It is based on substitution polynomials over GF(2m). This paper shows in two ways that the Matsumoto-Imai public key scheme is very easy to break. In the faster of the two attacks the time to cryptanalyze the scheme is about proportional to the binary length of the public key. This shows that Matsumoto and Imai greatly overestimated the security of their scheme.

AB - The Matsumoto-Imai public key scheme was developed to provide very fast signatures. It is based on substitution polynomials over GF(2m). This paper shows in two ways that the Matsumoto-Imai public key scheme is very easy to break. In the faster of the two attacks the time to cryptanalyze the scheme is about proportional to the binary length of the public key. This shows that Matsumoto and Imai greatly overestimated the security of their scheme.

UR - http://www.scopus.com/inward/record.url?scp=84939323131&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84939323131&partnerID=8YFLogxK

U2 - 10.1007/3-540-39757-4_14

DO - 10.1007/3-540-39757-4_14

M3 - Conference contribution

AN - SCOPUS:84939323131

SN - 9783540160762

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 142

EP - 149

BT - Advances in Cryptology

A2 - Ingemarsson, Ingemar

A2 - Cot, Norbert

A2 - Beth, Thomas

PB - Springer Verlag

T2 - Workshop on the Theory and Application of Cryptographic Techniques, EUROCRYPT 1984

Y2 - 9 April 1984 through 11 April 1984

ER -

Fast cryptanalysis of the Matsumoto-Imai public key scheme

Abstract

Publication series

Other

Bibliographical note

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this