3 problems

Let $L$ be a code loop, and let $V_{1}$ and $V_{2}$ be representations of $L$. The degree-and-type uniqueness conjecture. If $V_{1}$ and $V_{2}$ have the same degree and type, then…

Degree-and-type conjecture. If $V_{1}$ and $V_{2}$ have the same degree and type, then they are isomorphic.

Minimal identities conjecture. These identities form a minimal set of identities defining the variety ${\cal E}$.