Publication detail

Anomalous Behaviour of Cryptographic Elliptic Curves over Finite Field

FUJDIAK, R. DZURENDA, P. MLÝNEK, P. MIŠUREC, J. ORGOŇ, M. BEZZATEEV, S.

Original Title

Anomalous Behaviour of Cryptographic Elliptic Curves over Finite Field

English Title

Anomalous Behaviour of Cryptographic Elliptic Curves over Finite Field

Type

journal article

Language

en

Original Abstract

New wireless technologies and approaches enable to connect even the simplest sensors with limited computational power to the global network. The need for efficient and secure solutions is growing with the wider use of these devices. This paper provides a new method for speed optimization of Elliptic Curve Cryptography operations which are frequently used in the light-weight secure communication algorithms. This method is based on the anomalous behaviour of specific elliptic curves. We analyse more than 60 curves of various international standards. Further, our method is less complex, easy to deploy and comparable effective as ordinary, more complex methods. Last but not least, we show the importance of future research in the area of elliptic curve parameterization.

English abstract

New wireless technologies and approaches enable to connect even the simplest sensors with limited computational power to the global network. The need for efficient and secure solutions is growing with the wider use of these devices. This paper provides a new method for speed optimization of Elliptic Curve Cryptography operations which are frequently used in the light-weight secure communication algorithms. This method is based on the anomalous behaviour of specific elliptic curves. We analyse more than 60 curves of various international standards. Further, our method is less complex, easy to deploy and comparable effective as ordinary, more complex methods. Last but not least, we show the importance of future research in the area of elliptic curve parameterization.

Keywords

Cryptography, Data Security, Elliptic Curves, Information Security.

Released

22.10.2017

Location

Kaunas, Litva

Pages from

82

Pages to

88

Pages count

6

URL

BibTex


@article{BUT137850,
  author="Radek {Fujdiak} and Petr {Dzurenda} and Petr {Mlýnek} and Jiří {Mišurec}",
  title="Anomalous Behaviour of Cryptographic Elliptic Curves over Finite Field",
  annote="New wireless technologies and approaches enable to connect even the simplest sensors with limited computational power to the global network. The need for efficient and secure solutions is growing with the wider use of these devices. This paper provides a new method for speed optimization of Elliptic Curve Cryptography operations which are frequently used in the light-weight secure communication algorithms. This method is based on the anomalous behaviour of specific elliptic curves. We analyse more than 60 curves of various international standards. Further, our method is less complex, easy to deploy and comparable effective as ordinary, more complex methods. Last but not least, we show the importance of future research in the area of elliptic curve parameterization.",
  chapter="137850",
  doi="10.5755/j01.eie.23.5.19248",
  howpublished="online",
  number="5",
  volume="23",
  year="2017",
  month="october",
  pages="82--88",
  type="journal article"
}