Fractional number-theoretic transforms based on matrix functions

Author

Lima, Juliano B. ; Campello de Souza, Ricardo M. ; Lima, Paulo H. E. S.

Author_Institution

Dept. of Math., Fed. Univ. of Pernambuco, Recife, Brazil

fYear

2014

fDate

4-9 May 2014

Firstpage

2614

Lastpage

2618

Abstract

In this paper, we introduce fractional number-theoretic transforms (FrNTT) based on matrix functions. The approach, which is a kind of finite field extension of the method presented in [1], does not require the construction of any number-theoretic transform eigenvector set. In this sense, the definition presented in this work is simpler than that of another recently introduced FrNTT. An image encryption scheme based on the proposed FrNTT is suggested.

Keywords

image processing; matrix inversion; number theory; finite field extension; fractional number theoretic transforms; image encryption scheme; matrix functions; Correlation; Encryption; Fourier transforms; Polynomials; Vectors; Fractional transfoms; image encryption; number-theoretic transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing (ICASSP), 2014 IEEE International Conference on

Conference_Location

Florence

Type

conf

DOI

10.1109/ICASSP.2014.6854073

Filename

6854073

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=178437