Aug 14, 2021 · The objective of this article is to broaden the understanding of the connections between bent functions and partial difference sets.
The objective of this article is to broaden the understanding of the connections between bent functions and partial difference sets.
Jan 2, 2023 · We present a secondary construction of vectorial dual-bent functions, which can be used to generate more bent partitions. We show that any ...
Jul 13, 2023 · In this paper, we investigate the relations between bent partitions and vectorial dual-bent functions.
Aug 14, 2021 · Abstract. The objective of this article is to broaden the understanding of the connections between bent functions and partial difference ...
Feb 8, 2022 · In this paper, we illustrate that almost all the results of using weakly regular p-ary bent functions to construct partial difference sets are special cases of ...
Bent Partitions, Vectorial Dual-Bent Functions and Partial Difference Sets
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By using vectorial dual- bent functions as the link between bent partitions and partial difference sets, we give a sufficient condition on constructing partial ...
The objective of this article is to broaden the understanding of the connections between bent functions and partial difference sets.
Jan 7, 2024 · Bent and vectorial bent functions have applications in cryptography and coding and are closely related to objects in combinatorics and ...
Furthermore, explicit constructions of partial difference sets are yielded from some (non)-quadratic vectorial dual-bent functions. In this paper, we illustrate ...