PreprintCC BY 4.0arXiv
Generalized p-ary cPS Bent Functions
Abstract
We use m-dimensional partial spreads of fp2n, where p is an odd prime, n is a positive integer and m divides n, to construct two classes of bent functions from fp2n to fp. Our construction generalizes the classes of p-ary cPS− and cPS+ bent functions proposed by P. Lison\v ek and H. Y. Lu (Des. Codes Cryptogr. 73 (2014), 209--216).
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BibTeX
@misc{kholosha2026generalized,
title = {{Generalized $p$-ary $\cPS$ Bent Functions}},
author = {Alexander Kholosha and Mohit Pal},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18318},
eprint = {2609.18318},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18318},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Generalized p-ary cPS Bent Functions
AU - Alexander Kholosha
AU - Mohit Pal
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18318
UR - https://arxiv.org/abs/2609.18318
AB - We use m-dimensional partial spreads of fp^2n, where p is an odd prime, n is a positive integer and m divides n, to construct two classes of bent functions from fp^2n to fp. Our construction generalizes the classes of p-ary cPS^− and cPS^+ bent functions proposed by P. Lison\v ek and H. Y. Lu (Des. Codes Cryptogr. 73 (2014), 209--216).
ER -