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cs.IT2026
Six Families of Binary Codes Arising from Ding's Conjectures
Xiaoqiang Wang, Shiyan Xiong, Mu yuan +3
Ding \cite{Ding2016} proposed ten conjectures on binary linear codes arising from Boolean functions. Four of them, namely Conjectures 38--41, were subsequently proved by Göloğlu an…
cs.IT2026
A Structural Characterization of Cyclotomic Cosets with Applications to Affine-Invariant Codes and BCH Codes
Xiongkun Zheng, Dabin Zheng, Xiaoqiang Wang +1
Affine-invariant codes have attracted considerable attention due to their rich algebraic structure and strong theoretical properties. In this paper, we study a family of affine-inv…