A New Cryptographic Scheme Using the Chebyshev Polynomials

机译：一种使用Chebyshev多项式的新加密方案

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A secure environment is central to the growth and development of any nation. Crime and terrorism impede the stability and governance of any security sector. Hence, the need for security of information today has made cryptography to be very applicable in almost every sphere of life. Thus, constant improvement, modification, and formulation of new cryptographic schemes are keys to securing lives and belongings. In this work, we developed a new cryptographic scheme, employing Chebyshev polynomial as a fundamental component of the encrypting function and Laplace transforms as the transformational tool.

机译：安全的环境是任何国家的增长和发展的核心。犯罪与恐怖主义阻碍了任何安全部门的稳定性和治理。因此，今天对信息安全的需求使得加密在几乎所有生命中都适用。因此，新加密方案的持续改进，修改和制定是保护生命和物品的关键。在这项工作中，我们开发了一种新的加密方案，将Chebyshev多项式作为加密功能的基本组件，并作为变换工具作为转换工具。

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《International Conference in Mathematics, Computer Engineering and Computer Science》|2020年|1 v.|共3页
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Emmanuel Oluseye Adeyefa; Lukman Shina Akinola; Oluwaferanmi David Agbolade;
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中图分类计算技术、计算机技术;
关键词
component; Laplace Transforms; Cryptography; Network Security;

机译：组件;拉普拉斯变换;加密;网络安全;

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1. Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions : Open Mathematics [J] . Helmut Prodinger Open Mathematics . 2017,第1期

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2. The Relationships Between Chebyshev, Legendre and Jacobi Polynomials: The Generic Superiority of Chebyshev Polynomials and Three Important Exceptions [J] . John P. Boyd, Rolfe Petschek Journal of Scientific Computing . 2014,第1期

机译：Chebyshev，Legendre和Jacobi多项式之间的关系：Chebyshev多项式的一般优势和三个重要例外
3. A test, based on conversion to the Bernstein polynomial basis, for an interval to be free of zeros applicable to polynomials in Chebyshev form and to transcendental functions approximated by Chebyshev series [J] . John P. Boyd Applied mathematics and computation . 2007,第2期

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4. A New Cryptographic Scheme Using the Chebyshev Polynomials [C] . Emmanuel Oluseye Adeyefa, Lukman Shina Akinola, Oluwaferanmi David Agbolade International Conference in Mathematics, Computer Engineering and Computer Science . 2020

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5. Hybrid Chebyshev polynomial scheme for the numerical solution of partial differential equations. [D] . Khatri Ghimire, Balaram. 2016

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6. Novel Image Encryption Scheme Based on Chebyshev Polynomial and Duffing Map [O] . Borislav Stoyanov, Krasimir Kordov -1

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7. Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials [O] . Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, 2018

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8. Chebyshev Coefficients for Chebyshev Polynomials of Orders 12 and 24 under the General Linear Transformation [R] . Isabelle Arsham 1956

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A New Cryptographic Scheme Using the Chebyshev Polynomials

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