Some Algebraic Properties of Finite Binary Sequences
Małgorzata Filipczak, Tomasz Filipczak · Tatra Mountains Mathematical Publications · 2016
Abstract We study properties of differences of finite binary sequences with a fixed number of ones, treated as binary numbers from ℤ (2m).We show that any binary sequence consisting of m terms (except of the sequence (1, 0, . . . , 0)) can be presented as a difference of two sequences having exactly n ones, whenever .