The alternating-group multifold-factorization conjecture

Let $A_n$ denote the alternating group of degree $n$, and let “multifold-factorizable” have the meaning defined in the paper. Alternating-group multifold-factorization conjecture. The alternating group $A_n$ is multifold-factorizable whenever $n>5$. The paper presents this as a question motivated by computational factorizations; no proof or disproof is supplied in the given text.