TY - JOUR
T1 - Bounds on the differential uniformity of the Wan-Lidl polynomials
AU - Chen, Li An
AU - Coulter, Robert S.
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2023/12
Y1 - 2023/12
N2 - We study the differential uniformity of the Wan-Lidl polynomials over finite fields. A general upper bound, independent of the order of the field, is established. Additional bounds are established in settings where one of the parameters is restricted. In particular, we establish a class of permutation polynomials which have differential uniformity at most 5 over fields of order 3 mod 4, irrespective of the field size. Computational results are also given.
AB - We study the differential uniformity of the Wan-Lidl polynomials over finite fields. A general upper bound, independent of the order of the field, is established. Additional bounds are established in settings where one of the parameters is restricted. In particular, we establish a class of permutation polynomials which have differential uniformity at most 5 over fields of order 3 mod 4, irrespective of the field size. Computational results are also given.
KW - Differential uniformity
KW - Finite fields
KW - Permutation polynomials
KW - Wan-Lidl polynomials
UR - http://www.scopus.com/inward/record.url?scp=85150304404&partnerID=8YFLogxK
U2 - 10.1007/s12095-023-00634-6
DO - 10.1007/s12095-023-00634-6
M3 - Article
AN - SCOPUS:85150304404
SN - 1936-2447
VL - 15
SP - 1069
EP - 1085
JO - Cryptography and Communications
JF - Cryptography and Communications
IS - 6
ER -