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Equality Cases in the Tu-Deng Conjecture Bound

Year: 2026
Type: preprint
Abstract: The Tu-Deng Conjecture, made in 2011, asserts that for $k\geq2$ and $1\leq t<2^k-1$, the set \[ S_{t,k}=\left\{(a,b)\in\{0,1,\ldots,2^k-2\}^2: a+b\equiv t\pmod{2^k-1},\quad \wt(a)+\wt(b)
Language: English
Open Access status: green
OpenAlex ID: W7221515000
Cites: 4
Cited by:
Related to: 10