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cs.IT2026
The Maximum Nonlinearity of 8-variable Balanced Boolean Functions is 116
Yueying Lou, Youle Xu, Qichun Wang
Does there exist an 8-variable balanced Boolean function with nonlinearity 118? This is a famous and long-standing open problem in Boolean functions. In this paper, we give a negat…
cs.IT2026
The Covering Radius of the Reed--Muller Code RM(1,9) is 242
Qichun Wang, Yueying Lou, Zifan Wang
What is the covering radius of the Reed--Muller code RM(1,9) ? This is a long-standing open problem in cryptography and coding theory. In this paper, we resolve this problem, and p…