3 problems

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
openFrom papersdifference-sets finite-groups partial-difference-sets
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6
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…
openFrom papersbent-functions partial-difference-sets
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6
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…
openFrom papersbent-functions partial-difference-sets strongly-regular-graphs
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3

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