Publication result detail

Modular Arithmetic Operations on the Current Programmable Smart Cards

MALINA, L.; HAJNÝ, J.; ZEMAN, V.

Original Title

Modular Arithmetic Operations on the Current Programmable Smart Cards

English Title

Modular Arithmetic Operations on the Current Programmable Smart Cards

Type

Paper in proceedings (conference paper)

Original Abstract

The paper deals with general modular arithmetic operations implemented in computational restricted devices like smart cards. The advanced cryptographic schemes usually contain modular arithmetic operations. Nevertheless, the operations like multiplication and exponentiation are computationally hard on the smart cards for the length of parameters which is bigger than 1024 bits. For example, if the phase of an cryptographic scheme is running on the card and it consists of several modular multiplications and exponentiations then the time of computation takes from hundreds milliseconds to several seconds which is undesirable in practice. Our measured results prove the efficiency of modular multiplication and exponentiation on the MULTOS smart cards that natively support the cryptocoprocessor.

English abstract

The paper deals with general modular arithmetic operations implemented in computational restricted devices like smart cards. The advanced cryptographic schemes usually contain modular arithmetic operations. Nevertheless, the operations like multiplication and exponentiation are computationally hard on the smart cards for the length of parameters which is bigger than 1024 bits. For example, if the phase of an cryptographic scheme is running on the card and it consists of several modular multiplications and exponentiations then the time of computation takes from hundreds milliseconds to several seconds which is undesirable in practice. Our measured results prove the efficiency of modular multiplication and exponentiation on the MULTOS smart cards that natively support the cryptocoprocessor.

Keywords

Cryptography, Efficiency, Modular Arithmetic Operations, MULTOS, Smart cards.

Key words in English

Cryptography, Efficiency, Modular Arithmetic Operations, MULTOS, Smart cards.

Authors

MALINA, L.; HAJNÝ, J.; ZEMAN, V.

RIV year

2013

Released

12.09.2012

ISBN

978-80-554-0570-4

Book

Research in Telecommunication Technologies 2012

Edition

1

Pages from

1

Pages to

5

Pages count

5

BibTex

@inproceedings{BUT94081,
  author="Lukáš {Malina} and Jan {Hajný} and Václav {Zeman}",
  title="Modular Arithmetic Operations on the Current Programmable Smart Cards",
  booktitle="Research in Telecommunication Technologies 2012",
  year="2012",
  series="1",
  number="1",
  pages="1--5",
  isbn="978-80-554-0570-4"
}