Fractional number-theoretic transforms based on matrix functions

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 defini...

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Bibliographic Details
Published in2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) pp. 2614 - 2618
Main Authors Lima, Juliano B., Campello de Souza, Ricardo M., Lima, Paulo Hugo E. S.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2014
Subjects
Correlation
Encryption
Fourier transforms
Fractional transfoms
image encryption
number-theoretic transforms
Polynomials
Vectors
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Summary: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.
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.2014.6854073