TY - JOUR
T1 - Algebraic Construction of Near-Bent and APN Functions
AU - Poojary, Prasanna
AU - Panackal, Harikrishnan
AU - Bhatta, Vadiraja G.R.
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019/11/1
Y1 - 2019/11/1
N2 - Boolean functions play an important role in symmetric cryptosystems. In this paper, we have constructed near-bent Boolean functions algebraically with the help of Niho power function exponent in the trace form over a finite field. Specific cryptographic properties which may gain attention with suitable modifications are observed using these functions. If exponents are either Mersenne numbers or Fermat numbers, then the resulting functions are found to be APN (almost perfect nonlinear).
AB - Boolean functions play an important role in symmetric cryptosystems. In this paper, we have constructed near-bent Boolean functions algebraically with the help of Niho power function exponent in the trace form over a finite field. Specific cryptographic properties which may gain attention with suitable modifications are observed using these functions. If exponents are either Mersenne numbers or Fermat numbers, then the resulting functions are found to be APN (almost perfect nonlinear).
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U2 - 10.1007/s00006-019-1012-x
DO - 10.1007/s00006-019-1012-x
M3 - Article
AN - SCOPUS:85073224943
SN - 0188-7009
VL - 29
JO - Advances in Applied Clifford Algebras
JF - Advances in Applied Clifford Algebras
IS - 5
M1 - 93
ER -