3 problems

Let $n_1,n_2,r_1,r_2,k,\ell$ be positive integers with $n_1<r_1<2n_1$, and let $f_1(x),\ldots,f_\ell(x)$ be irreducible polynomials of degree $n_1n_2$ and exponent $r_1r_2$. Suppos…

Let $k$, $t$, $n$, and $m$ be integers, and set … A $(2^k,2^t;n,m)$-de Bruijn array code is a code with the parameters specified by the paper, and the necessary conditions include…

Hurlbert–Mykkeltveit–Parker conjecture. There exists an $(r,v;n,m)_d$-array whenever