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A technique for computing the quotient (⌊ *ab*/*n* ⌋) of Euclidean divisions from the difference of two remainders (*ab* (mod *n*) - *ab* (mod *n*+1)) was proposed by Fischer and Seifert. The technique allows a 2

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.1 pp.180-187

- Publication Date
- 2010/01/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.E93.A.180

- Type of Manuscript
- Special Section PAPER (Special Section on Cryptography and Information Security)

- Category
- Mathematics

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Masayuki YOSHINO, Katsuyuki OKEYA, Camille VUILLAUME, "Recursive Double-Size Modular Multiplications from Euclidean and Montgomery Multipliers" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 1, pp. 180-187, January 2010, doi: 10.1587/transfun.E93.A.180.

Abstract: A technique for computing the quotient (⌊ *ab*/*n* ⌋) of Euclidean divisions from the difference of two remainders (*ab* (mod *n*) - *ab* (mod *n*+1)) was proposed by Fischer and Seifert. The technique allows a 2

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.180/_p

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@ARTICLE{e93-a_1_180,

author={Masayuki YOSHINO, Katsuyuki OKEYA, Camille VUILLAUME, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Recursive Double-Size Modular Multiplications from Euclidean and Montgomery Multipliers},

year={2010},

volume={E93-A},

number={1},

pages={180-187},

abstract={A technique for computing the quotient (⌊ *ab*/*n* ⌋) of Euclidean divisions from the difference of two remainders (*ab* (mod *n*) - *ab* (mod *n*+1)) was proposed by Fischer and Seifert. The technique allows a 2

keywords={},

doi={10.1587/transfun.E93.A.180},

ISSN={1745-1337},

month={January},}

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TY - JOUR

TI - Recursive Double-Size Modular Multiplications from Euclidean and Montgomery Multipliers

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 180

EP - 187

AU - Masayuki YOSHINO

AU - Katsuyuki OKEYA

AU - Camille VUILLAUME

PY - 2010

DO - 10.1587/transfun.E93.A.180

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E93-A

IS - 1

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - January 2010

AB - A technique for computing the quotient (⌊ *ab*/*n* ⌋) of Euclidean divisions from the difference of two remainders (*ab* (mod *n*) - *ab* (mod *n*+1)) was proposed by Fischer and Seifert. The technique allows a 2

ER -