TY - JOUR
T1 - Algebraic Construction of Semi Bent Function Via Known Power Function
AU - Poojary, P.
AU - Harikrishnan, P. K.
AU - Vadiraja Bhatta, G. R.
N1 - Funding Information:
Acknowledgment. The authors would like to thank the editor and referees for their valuable comments and suggestions which improved this article. The corresponding author and the second author acknowledges Manipal Institute of Technology (MIT), Manipal Academy of Higher Education, India, for their kind encouragement. The first author is grateful to Manipal Academy of Higher Education for their support through the Dr. T. M. A. Pai Ph. D. scholarship program.
Funding Information:
The authors would like to thank the editor and referees for their valuable comments and suggestions which improved this article. The corresponding author and the second author acknowledges Manipal Institute of Technology (MIT), Manipal Academy of Higher Education, India, for their kind encouragement. The first author is grateful to Manipal Academy of Higher Education for their support through the Dr. T. M. A. Pai Ph. D. scholarship program.
Publisher Copyright:
©Işık University, Department of Mathematics, 2021; all rights reserved.
PY - 2021
Y1 - 2021
N2 - The study of semi bent functions (2- plateaued Boolean function) has at- tracted the attention of many researchers due to their cryptographic and combinatorial properties. In this paper, we have given the algebraic construction of semi bent func- tions defined over the finite field F2n(n even) using the notion of trace function and Gold power exponent. Algebraically constructed semi bent functions have some special cryp- tographical properties such as high nonlinearity, algebraic immunity, and low correlation immunity as expected to use them effectively in cryptosystems. We have illustrated the existence of these properties with suitable examples.
AB - The study of semi bent functions (2- plateaued Boolean function) has at- tracted the attention of many researchers due to their cryptographic and combinatorial properties. In this paper, we have given the algebraic construction of semi bent func- tions defined over the finite field F2n(n even) using the notion of trace function and Gold power exponent. Algebraically constructed semi bent functions have some special cryp- tographical properties such as high nonlinearity, algebraic immunity, and low correlation immunity as expected to use them effectively in cryptosystems. We have illustrated the existence of these properties with suitable examples.
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M3 - Article
AN - SCOPUS:85104043959
SN - 2146-1147
VL - 11
SP - 359
EP - 367
JO - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
JF - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
IS - 2
ER -