MathDB

A table consisting of

5

columns and

32

rows, which are filled with zero and one numbers, are "varied", if no two lines are filled in the same way.\\ On the exterior of a cylinder, a table with

32

rows and

16

columns is constructed. Is it possible to fill the numbers cells of the table with numbers zero and one, such that any five consecutive columns, table

32\times5

created by these columns, is a varied one?
Proposed by Morteza Saghafian

Problem Statement