5 problems

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Nonisomorphism conjecture for the Cayley graphs arising from $D_{\ell,j,k}$
Let $D_{\ell,j,k}$ be the partial difference sets constructed in the paper, and let the associated strongly regular Cayley graphs be the Cayley graphs arising from $D_{\ell,j,k}$ .…
Conjectureopenfinite-fields partial-difference-sets strongly-regular-graphsarXiv posted 2 days ago
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Classification conjecture for PDSs formed by a single cyclotomic class
Cyclotomic-class PDS classification conjecture. All partial difference sets formed by a single cyclotomic class take one of three forms: the subfield case, the semi-primitive case,…
Conjectureopencyclotomy finite-fields partial-difference-setsarXiv posted 2 days ago
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Conjecture on reversible Hadamard difference sets in $C_{2^n}\times C_{2^n}$
Reversible Hadamard difference set enumeration conjecture. The total number of reversible Hadamard difference sets in $G_n$ of type A is
Conjectureopendifference-sets finite-groups partial-difference-setsarXiv posted 2 days ago
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Conjecture on level curves of even bent functions
Let $f:GF(p)^n\to GF(p)$ be an even bent function with $p>2$ and $f(0)=0$ . For each value of $f$ , its level curve is the corresponding level set; assume these level curves give ris…
Conjectureopenbent-functions partial-difference-setsarXiv posted 2 days ago
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Walsh's conjecture on weakly regular bent functions and weighted partial difference sets
Let $p>2$ and let $f:GF(p)^n\to GF(p)$ be a weakly regular bent function corresponding to a weighted strongly regular graph via the stated analogy. Let $\mu_{ii}$ denote the diagon…
Conjectureopenbent-functions partial-difference-sets strongly-regular-graphsarXiv posted 2 days ago

5 problems

Nonisomorphism conjecture for the Cayley graphs arising from Dℓ,j,kD_{\ell,j,k}Dℓ,j,k​

Classification conjecture for PDSs formed by a single cyclotomic class

Conjecture on reversible Hadamard difference sets in C2n×C2nC_{2^n}\times C_{2^n}C2n​×C2n​

Conjecture on level curves of even bent functions

Walsh's conjecture on weakly regular bent functions and weighted partial difference sets

Nonisomorphism conjecture for the Cayley graphs arising from $D_{\ell,j,k}$

Conjecture on reversible Hadamard difference sets in $C_{2^n}\times C_{2^n}$