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01/11/2023
A note on constructions of bent functions
Recently, Li et al. presented a generic construction of bent functions i...
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08/08/2022
Minimal Binary Linear Codes from Vectorial Boolean Functions
Recently, much progress has been made to construct minimal linear codes ...
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02/03/2022
Minimal Length of Nontrivial Solutions of the Isometry Equation and MacWilliams Extension Property with Respect to Weighted Poset Metric
For R≜ Mat_m(𝔽), the ring of all the m× m matrices over the finite field...
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01/26/2022
Fourier-Reflexive Partitions and Group of Linear Isometries with Respect to Weighted Poset Metric
Let 𝐇 be the cartesian product of a family of abelian groups indexed by ...
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07/22/2021
Fourier-Reflexive Partitions Induced by Poset Metric
Let 𝐇 be the cartesian product of a family of finite abelian groups inde...
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01/27/2021
Constructing new APN functions through relative trace functions
In 2020, Budaghyan, Helleseth and Kaleyski [IEEE TIT 66(11): 7081-7087, ...
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11/27/2020
A Galois Connection Approach to Wei-Type Duality Theorems
In 1991, Wei proved a duality theorem that established an interesting co...
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05/25/2019
Constructing vectorial bent functions via second-order derivatives
Let n be an even positive integer, and m<n be one of its positive diviso...
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05/25/2019