Mixed bases for efficient inversion in F((22)2) 2 and conversion matrices of subbytes of AES

Yasuyuki Nogami; Kenta Nekado; Tetsumi Toyota; Naoto Hongo; Yoshitaka Morikawa

doi:10.1007/978-3-642-15031-9_16

Mixed bases for efficient inversion in F((2²)²) ² and conversion matrices of subbytes of AES

Yasuyuki Nogami, Kenta Nekado, Tetsumi Toyota, Naoto Hongo, Yoshitaka Morikawa

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

35 Citations (Scopus)

Abstract

A lot of improvements and optimizations for the hardware implementation of SubBytes of Rijndael, in detail inversion in have been reported. Instead of the Rijndael original , it is known that its isomorphic tower field has a more efficient inversion. For the towerings, several kinds of bases such as polynomial and normal bases can be used in mixture. Different from the meaning of this mixture of bases, this paper proposes another mixture that contributes to the reduction of the critical path delay of SubBytes. To the -inversion architecture, for example, the proposed mixture inputs and outputs elements represented with normal and polynomial bases, respectively.

Original language	English
Title of host publication	Cryptographic Hardware and Embedded Systems, CHES 2010 - 12th International Workshop, Proceedings
Publisher	Springer Verlag
Pages	234-247
Number of pages	14
ISBN (Print)	3642150306, 9783642150302
DOIs	https://doi.org/10.1007/978-3-642-15031-9_16
Publication status	Published - 2010
Event	12th International Workshop on Cryptographic Hardware and Embedded Systems, CHES 2010 - Santa Barbara, CA, United States Duration: Aug 17 2010 → Aug 20 2010

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	6225 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	12th International Workshop on Cryptographic Hardware and Embedded Systems, CHES 2010
Country/Territory	United States
City	Santa Barbara, CA
Period	8/17/10 → 8/20/10

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-642-15031-9_16

Cite this

Nogami, Y., Nekado, K., Toyota, T., Hongo, N., & Morikawa, Y. (2010). Mixed bases for efficient inversion in F((2²)²) ² and conversion matrices of subbytes of AES. In Cryptographic Hardware and Embedded Systems, CHES 2010 - 12th International Workshop, Proceedings (pp. 234-247). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6225 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-642-15031-9_16

Mixed bases for efficient inversion in F((2²)²) ² and conversion matrices of subbytes of AES. / Nogami, Yasuyuki; Nekado, Kenta; Toyota, Tetsumi; Hongo, Naoto; Morikawa, Yoshitaka.

Cryptographic Hardware and Embedded Systems, CHES 2010 - 12th International Workshop, Proceedings. Springer Verlag, 2010. p. 234-247 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6225 LNCS).

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

Nogami, Y, Nekado, K, Toyota, T, Hongo, N & Morikawa, Y 2010, Mixed bases for efficient inversion in F((2²)²) ² and conversion matrices of subbytes of AES. in Cryptographic Hardware and Embedded Systems, CHES 2010 - 12th International Workshop, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6225 LNCS, Springer Verlag, pp. 234-247, 12th International Workshop on Cryptographic Hardware and Embedded Systems, CHES 2010, Santa Barbara, CA, United States, 8/17/10. https://doi.org/10.1007/978-3-642-15031-9_16

Nogami Y, Nekado K, Toyota T, Hongo N, Morikawa Y. Mixed bases for efficient inversion in F((2²)²) ² and conversion matrices of subbytes of AES. In Cryptographic Hardware and Embedded Systems, CHES 2010 - 12th International Workshop, Proceedings. Springer Verlag. 2010. p. 234-247. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-642-15031-9_16

Nogami, Yasuyuki ; Nekado, Kenta ; Toyota, Tetsumi ; Hongo, Naoto ; Morikawa, Yoshitaka. / Mixed bases for efficient inversion in F((2²)²) ² and conversion matrices of subbytes of AES. Cryptographic Hardware and Embedded Systems, CHES 2010 - 12th International Workshop, Proceedings. Springer Verlag, 2010. pp. 234-247 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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