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

33 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
Pages	234-247
Number of pages	14
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	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

Fingerprint Dive into the research topics of 'Mixed bases for efficient inversion in F((22)2) 2 and conversion matrices of subbytes of AES'. Together they form a unique fingerprint.

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). 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. 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, 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. 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. 2010. pp. 234-247 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{03568d7ffb474c4c8f984a2daf9d81e7,

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

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.",

author = "Yasuyuki Nogami and Kenta Nekado and Tetsumi Toyota and Naoto Hongo and Yoshitaka Morikawa",

note = "Copyright: Copyright 2010 Elsevier B.V., All rights reserved.; 12th International Workshop on Cryptographic Hardware and Embedded Systems, CHES 2010 ; Conference date: 17-08-2010 Through 20-08-2010",

year = "2010",

doi = "10.1007/978-3-642-15031-9_16",

language = "English",

isbn = "3642150306",

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

pages = "234--247",

booktitle = "Cryptographic Hardware and Embedded Systems, CHES 2010 - 12th International Workshop, Proceedings",

}

TY - GEN

T1 - Mixed bases for efficient inversion in F((22)2) 2 and conversion matrices of subbytes of AES

AU - Nogami, Yasuyuki

AU - Nekado, Kenta

AU - Toyota, Tetsumi

AU - Hongo, Naoto

AU - Morikawa, Yoshitaka

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78049333152&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78049333152&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-15031-9_16

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

M3 - Conference contribution

AN - SCOPUS:78049333152

SN - 3642150306

SN - 9783642150302

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

SP - 234

EP - 247

BT - Cryptographic Hardware and Embedded Systems, CHES 2010 - 12th International Workshop, Proceedings

T2 - 12th International Workshop on Cryptographic Hardware and Embedded Systems, CHES 2010

Y2 - 17 August 2010 through 20 August 2010

ER -