Search this site
Embedded Files
Vijñāna Parishad of India
  • Home
  • Vijñāna Parishad of India
    • Executive Council
    • Join Vijñāna Parishad of India
    • Life Members
    • Annual Members
    • VPI Annual Conferences
      • 26th Annual Conference - 2025
      • 25th Annual Conference - 2024
      • 24th Annual Conference - 2023
      • Sixth International Conference
      • Fifth International Conference and Golden Jubilee Celebration
      • 23rd Annual Conference - 2021
      • International Conference - 2020
      • International Conference and 22nd Annual Convention
      • 2nd International Conference
      • 21st Annual Conference
      • 20th Annual Conference
      • 19th Annual Conference
      • 18th Annual Conference
      • 17th Annual Conference
      • 16th Annual Conference
      • 15th Annual Conference
        • 15th Annual Conference Photo Gallery
    • Fellows and Awards
      • Best Paper Presentation Award To Young Scientists
    • Donors
  • Jñānābha
    • Jñānābha‎ Online Volumes
    • Volume 54 (No 2-2024)
    • Volume 54 (No 1-2024)
    • Volume 53 (No 2-2023)
    • Volume 53 (No 1-2023)
    • Volume 52 (No 2-2022)
    • Volume 52 (No 1-2022)
    • Volume 51 (No 2-2021)
    • Volume 51 (No 1-2021)
    • Volume 50 (No 2-2020)
    • Volume 50 (No 1-2020)
    • Volume 49 (No2-2019)
    • Volume 49 (No1-2019)
    • Volume 48 (No2-2018)
    • Volume 48 (No1-2018)
    • Special Issue 2018
    • Volume 47 (No2-2017)
    • Volume 47 (No1-2017)
    • Volume 46 (2016)
    • Volume 45 (2015)
    • Volume 44 (2014)
    • Volume 43 (2013)
    • Volume 42 (2012)
    • Volume 41 (2011)
    • Volume 40 (2010)
    • Volume 39 (2009)
    • Volume 38 (2008)
    • Volume 37 (2007)
    • Volume 36 (2006)
    • Volume 35 (2005)
    • Volume 34 (2004)
    • Volume 33 (2003)
    • Volume 31, 32 (2002)
    • Volume 30 (2000)
    • Volume 29 (1999)
    • Volume 28 (1998)
    • Volume 27 (1997)
    • Volume 26 (1996)
    • Volume 25 (1995)
    • Volume 24 (1994)
    • Volume 23 (1993)
    • Volume 22 (1992)
    • Volume 21 (1991)
    • Volume 20 (1990)
    • Volume 19 (1989)
    • Volume 18 (1988)
    • Volume 17 (1987)
    • Volume 16 (1986)
    • Volume 15 (1985)
    • Volume 14 (1984)
    • Volume 13 (1983)
    • Volume 12 (1982)
    • Volume 11 (1981)
    • Volume 9/10 (1980)
    • Volume 8 (1978)
    • Volume 7 (1977)
    • Volume 6 (1976)
    • Volume 5 (1975)
    • Volume 4 (1974)
    • Volume 3 (1973)
    • Volume 2 (1972)
    • Volume 1 (1971)
  • News and Events
  • Contact Us
Vijñāna Parishad of India

Jñānābha‎, Vol. 53 (2) (2023), (74-78)

SECURITY OF PUBLIC KEY ENCRYPTION USING DICKSON POLYNOMIALS OVER FINITE FIELD WITH 2k


By

Kamakhya Paul1, Pinkimani Goswami2 and Madan Mohan Singh3

1Department of Mathematics, North Eastern Hill University, Shillong, Meghalaya, India-793022

2Department of Mathematics, University of Science and Technology Meghalaya,Ri-Bhoi, Meghalaya, India-793101

3Department of Basic Sciences & Social Sciences, North Eastern Hill University, Shillong,

Meghalaya, India-793022

Email: kamakhyapaul4@gmail.com, pinkimanigoswami@yahoo.com, mmsingh2004@gmail.com

(Received : May 16, 2023; In format : May 27, 2023; Revised : August 09, 2023, Accepted: August 30, 2023)


DOI: https://doi.org/10.58250/jnanabha.2023.53209


 

Abstract

The application of Dickson polynomial in public key cryptography is observed due to its permutation behaviors and semi-group property under composition. Here we have mostly concentrated on checking the one-wayness and semantic security of our scheme. The proposed scheme is based on Dickson polynomial over a finite field with 2k, whose security depends on the Integer Factorization Problem(IFP) and the Discrete Dickson Problem(DDP), which is as difficult as solving discrete logarithmic Problem (DLP). Our proposed cryptosystem is computationally secured with one wayness and semantic security, it also reduces the complexity of many other proposed schemes.


2020 Mathematical Sciences Classification: 94A60, 11T06

Keywords and Phrases: Dickson Polynomial, Integer Factorization Problem, Discrete Dickson Problem, Discrete logarithm Problem, Encryption Scheme.


[Download PDF File]

Google Sites
Report abuse
Page details
Page updated
Google Sites
Report abuse