Title :
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
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;
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2014 IEEE International Conference on
Conference_Location :
Florence
DOI :
10.1109/ICASSP.2014.6854073
