Efficient modular multiplication for programmable smart-cards.

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Title: Efficient modular multiplication for programmable smart-cards.
Authors: Malina, Lukas1 malina@feec.vutbr.cz, Hajny, Jan1 hajny@feec.vutbr.cz
Source: Telecommunication Systems. Apr2014, Vol. 55 Issue 4, p491-498. 8p.
Subjects: Smart cards, Modular programming, Modular arithmetic, Multiplication, Cryptography, Integers
Abstract: In this paper, we deal with efficient modular multiplication algorithms working with large integers on programmable smart-cards. The current smart-cards don't contain a library supporting modular arithmetic operations, which is needed in advanced cryptography schemes. Fortunately, the smart-cards contain a crypto co-processor providing a cryptographic support that can help with the acceleration of modular multiplication. The performance of three classical methods for modular multiplication with large integers and one method using a crypto co-processor is analyzed in this paper. The results of our implementation of modular arithmetic operations with the accelerated multiplication can be useful for the construction of advanced cryptographic schemes. [ABSTRACT FROM AUTHOR]
Copyright of Telecommunication Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="DE" term="%22Smart+cards%22">Smart cards</searchLink><br /><searchLink fieldCode="DE" term="%22Modular+programming%22">Modular programming</searchLink><br /><searchLink fieldCode="DE" term="%22Modular+arithmetic%22">Modular arithmetic</searchLink><br /><searchLink fieldCode="DE" term="%22Multiplication%22">Multiplication</searchLink><br /><searchLink fieldCode="DE" term="%22Cryptography%22">Cryptography</searchLink><br /><searchLink fieldCode="DE" term="%22Integers%22">Integers</searchLink>
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  Data: In this paper, we deal with efficient modular multiplication algorithms working with large integers on programmable smart-cards. The current smart-cards don't contain a library supporting modular arithmetic operations, which is needed in advanced cryptography schemes. Fortunately, the smart-cards contain a crypto co-processor providing a cryptographic support that can help with the acceleration of modular multiplication. The performance of three classical methods for modular multiplication with large integers and one method using a crypto co-processor is analyzed in this paper. The results of our implementation of modular arithmetic operations with the accelerated multiplication can be useful for the construction of advanced cryptographic schemes. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Telecommunication Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s11235-013-9804-0
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        Text: English
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      – SubjectFull: Smart cards
        Type: general
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      – SubjectFull: Modular arithmetic
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      – SubjectFull: Cryptography
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              Text: Apr2014
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