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Journals / Journal of Algebra Combinatorics Discrete Structures and Applications / 2026 / Cilt: 8 Sayı: 2

Algebraic methods in difference sets and bent functions

Pradipkumar H. Keskar(Birla Intitute of Technology and Science)0000-0001-5463-4189
Priyanka Kumari(Birla Intitute of Technology and Science)
Pages
139–148
Publication Date
2021-05-20
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also consider the question about the bentness of certain Boolean functions introduced by Carlet when the $\mathcal{C}$-condition introduced by him doesn't hold.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We provide some applications of a polynomial criterion for difference sets.
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Key Findings & Data:These include counting the difference sets with specified parameters in terms of Hilbert functions, in particular a count of bent functions.
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Conclusion & Impact:We also consider the question about the bentness of certain Boolean functions introduced by Carlet when the $\mathcal{C}$-condition introduced by him doesn't hold.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Hilbert functions · $\mathcal{C}$-condition · Flat

Abstract

We provide some applications of a polynomial criterion for difference sets. These include counting the difference sets with specified parameters in terms of Hilbert functions, in particular a count of bent functions. We also consider the question about the bentness of certain Boolean functions introduced by Carlet when the $\mathcal{C}$-condition introduced by him doesn't hold.

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Cite This Article

Keskar, P. H., Kumari, P. (2021). Algebraic methods in difference sets and bent functions. Journal of Algebra Combinatorics Discrete Structures and Applications, Cilt: 8 Sayı: 2, 139–148. https://doi.org/10.13069/jacodesmath.940192

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References (10)

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