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Journal articles
Efficient Regular Modular Exponentiation Using Multiplicative Half-Size Splitting
Abstract : In this paper, we consider efficient RSA modular exponentiations x^K \mod N which are regular and constant time. We first review the multiplicative splitting of an integer x modulo N into two half-size integers. We then take advantage of this splitting to modify the square-and-multiply exponentiation as a regular sequence of squarings always followed by a multiplication by a half-size integer. The proposed method requires around 16% less word operations compared to Montgomery-ladder, square-always and square-and-multiply-always exponentiations. These theoretical results are validated by our implementation results which show an improvement by more than 12% compared approaches which are both regular and constant time.
Cited literature [19 references]
https://hal.archives-ouvertes.fr/hal-01185249
Contributor : Christophe Negre <>
Submitted on : Friday, August 21, 2015 - 8:39:24 AM
Last modification on : Tuesday, December 8, 2020 - 9:37:43 AM
Long-term archiving on: : Wednesday, April 26, 2017 - 9:43:59 AM
Contributor : Christophe Negre <>
Submitted on : Friday, August 21, 2015 - 8:39:24 AM
Last modification on : Tuesday, December 8, 2020 - 9:37:43 AM
Long-term archiving on: : Wednesday, April 26, 2017 - 9:43:59 AM
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