Universal hashing algorithm on the Suzuki curve

Authors

  • Геннадий Зайдулович Халимов Харьковский национальный университет радиоэлектроники пр. Ленина, 14, Харьков, Украина, Ukraine
  • Евгений Владимирович Котух Харьковский национальный университет радиоэлектроники пр. Ленина, 14, Харьков, Украина, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2011.1666

Keywords:

Universal hashing, algebraic curve Suzuki

Abstract

An algorithm for universal hashing on the Suzuki curve over a finite field, which is determined by calculating the Horner's scheme for the four rational functions. Obtained estimates of the complexity of computing the hash code

Author Biographies

Геннадий Зайдулович Халимов, Харьковский национальный университет радиоэлектроники пр. Ленина, 14, Харьков, Украина

Кандидат технических наук, профессор, доцент

Кафедра безопасности информационных технологий

Евгений Владимирович Котух, Харьковский национальный университет радиоэлектроники пр. Ленина, 14, Харьков, Украина

Аспирант

Кафедра безопасности информационных технологий

References

  1. Torres F. The Deligne-Lusztig curve associated to the Suzuki group [Тескт] / F. Torres // arXiv:alg-geom/9706012v1 26Jun. – 1997.
  2. Bierbrauer J. Authentication via algebraic-geometric codes. [Тескт] / J. Bierbrauer // URL http://www.math.mtu.edu/~jbierbra/ potpap.ps.
  3. Халимов Г.З. Аутентификация с применением Эрмитовых кодов. [Тескт] / Г.З. Халимов, А.Ю. Иохов // Вестник ХПИ. – Х., -2005. –Вып. 9. – С. 26-32.
  4. Халимов Г.З. Универсальное хеширование по максимальным кривым Гурвица [Тескт] / Г.З. Халимов // Журнал “Прикладная радиоэлектроника”. Харьков: ХНУРЭ. - 2010. - Т.9, № 3. - С.365-370.
  5. Халимов Г.З. Универсальное хеширование по кривой Сузуки [Тескт] / Г.З. Халимов, Е.В. Котух // Журнал “Прикладная радиоэлектроника”. Харьков: ХНУРЭ. - 2011. - Т.10, № 2. - С.80-86.

Downloads

How to Cite

Халимов, Г. З., & Котух, Е. В. (2012). Universal hashing algorithm on the Suzuki curve. Eastern-European Journal of Enterprise Technologies, 3(9(51), 10–15. https://doi.org/10.15587/1729-4061.2011.1666

Issue

Vol. 3 No. 9(51) (2011): Information and control systems

Section

Information and controlling system

License

Copyright (c) 2014 Геннадий Зайдулович Халимов, Евгений Владимирович Котух

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.

A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.