Improved batch exponentiation

Byungchun Chung; Junbeom Hur; Heeyoul Kim; Seong Min Hong; Hyunsoo Yoon

doi:10.1016/j.ipl.2009.04.008

Improved batch exponentiation

Byungchun Chung^*
, Junbeom Hur
, Heeyoul Kim
, Seong Min Hong
, Hyunsoo Yoon

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

An improved batch exponentiation algorithm is proposed that enhances the combination step of M'Raïhi-Naccache's batch exponentiation algorithm with a decremental combination strategy. In comparison with M'Raïhi-Naccache's algorithm for 160-bit and 1024-bit exponents, the proposed algorithm reduces the workload per exponentiation by about 15% in both cases when the optimal batch size is applied.

Original language	English
Pages (from-to)	832-837
Number of pages	6
Journal	Information Processing Letters
Volume	109
Issue number	15
DOIs	https://doi.org/10.1016/j.ipl.2009.04.008
Publication status	Published - 2009 Jul 16
Externally published	Yes

Keywords

Batch exponentiation
Batch generation
Cryptography
Decremental strategy

ASJC Scopus subject areas

Theoretical Computer Science
Signal Processing
Information Systems
Computer Science Applications

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10.1016/j.ipl.2009.04.008

Cite this

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title = "Improved batch exponentiation",

abstract = "An improved batch exponentiation algorithm is proposed that enhances the combination step of M'Ra{\"i}hi-Naccache's batch exponentiation algorithm with a decremental combination strategy. In comparison with M'Ra{\"i}hi-Naccache's algorithm for 160-bit and 1024-bit exponents, the proposed algorithm reduces the workload per exponentiation by about 15\% in both cases when the optimal batch size is applied.",

keywords = "Batch exponentiation, Batch generation, Cryptography, Decremental strategy",

author = "Byungchun Chung and Junbeom Hur and Heeyoul Kim and Hong, \{Seong Min\} and Hyunsoo Yoon",

year = "2009",

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language = "English",

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pages = "832--837",

journal = "Information Processing Letters",

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T1 - Improved batch exponentiation

AU - Chung, Byungchun

AU - Hur, Junbeom

AU - Kim, Heeyoul

AU - Hong, Seong Min

AU - Yoon, Hyunsoo

PY - 2009/7/16

Y1 - 2009/7/16

N2 - An improved batch exponentiation algorithm is proposed that enhances the combination step of M'Raïhi-Naccache's batch exponentiation algorithm with a decremental combination strategy. In comparison with M'Raïhi-Naccache's algorithm for 160-bit and 1024-bit exponents, the proposed algorithm reduces the workload per exponentiation by about 15% in both cases when the optimal batch size is applied.

AB - An improved batch exponentiation algorithm is proposed that enhances the combination step of M'Raïhi-Naccache's batch exponentiation algorithm with a decremental combination strategy. In comparison with M'Raïhi-Naccache's algorithm for 160-bit and 1024-bit exponents, the proposed algorithm reduces the workload per exponentiation by about 15% in both cases when the optimal batch size is applied.

KW - Batch exponentiation

KW - Batch generation

KW - Cryptography

KW - Decremental strategy

UR - https://www.scopus.com/pages/publications/67349170371

U2 - 10.1016/j.ipl.2009.04.008

DO - 10.1016/j.ipl.2009.04.008

M3 - Article

AN - SCOPUS:67349170371

SN - 0020-0190

VL - 109

SP - 832

EP - 837

JO - Information Processing Letters

JF - Information Processing Letters

IS - 15

ER -

Improved batch exponentiation

Abstract

Keywords

ASJC Scopus subject areas

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