MathDB

We have a grid of

k^2-k+1

rows and

k^2-k+1

columns, where

k=p+1

and

p

is prime. For each prime

p

, give a method to put the numbers 0 and 1, one number for each square in the grid, such that on each row there are exactly

k

0's, on each column there are exactly

k

0's, and there is no rectangle with sides parallel to the sides of the grid with 0s on each four vertices.

Problem Statement