Welcome to the resource topic for 2020/227
Title:
About the Tu-Deng Conjecture for \w(t) Less Than or Equal to 10
Authors: Yindong Chen, Limin Lin, Chuliang Wei
Abstract:Let k \ge 2 be an integer, define $$ S_t^k:=\Bigg{(a,b)\in \mathbb{Z}^2\ \Big| \ { 0 \le a,b \le 2^{k}-2,\ a+b\equiv t ~(\text{mod} \ 2^k-1),\ \w(a)+\w(b)\le{k-1}}\Bigg},$$ where t \in \mathbb{Z}, 1 \le t \le 2^k-2. This paper gives the upper bound of cardinality of S_t^k when \w(t)\le 10, proving that a conjecture proposed by Tu and Deng in the case.
ePrint: https://eprint.iacr.org/2020/227
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