1. Some Cryptographic Properties of Functions Based on their 2q-Nega-Hadamard Transform
- Author
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Deep Singh, Bibhuti Bhusan Mohanta, Amit Paul, Jatinder Kumar, and Rajwinder Singh
- Subjects
2q-walsh-hadamard transform (2q-wht) ,2q-nega cross-correlation (2q-ncc) ,2q-nega auto-correlation (2q-nac) ,2q-bent functions ,2q-nega-hadamard transform (2q-nht) ,Technology ,Mathematics ,QA1-939 - Abstract
Negabent functions play a vital role in the field of cryptography and coding theory for designing secure cryptosystems. In this article, we investigate the various properties of 2q-nega-Hadamard transform (2q-NHT) of the functions from Z_q^n to Z_2q with q≥2 is a positive integer. We discuss the 2q-NHT of the derivative of these functions and develop a connection between 2q-walsh-Hadamard transform (2q-WHT) and 2q-NHT for the derivative of these functions. Also, we show that the dual g ̃ of g∈B_(n,q) is 2q-bent if N_g (ϑ)=ω^(g ̃(ϑ)) for all ϑ∈Z_q^n. The 2q-nega convolution transform theorem for the current setup is obtained. Further, we have obtained the 2q-NHT of composition of generalized vectorial function and generalized function.
- Published
- 2024
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