Codes over rings of size $p^2$ and lattices over imaginary quadratic fields

T. Shaska, C. Shor, G. Wijesiri

Let $\ell >0$ be a square-free integer congruent to 3 mod 4 and ${Ø}_K$ the ring of integers of the imaginary quadratic field $K=Q(\sqrt{-\ell })$. Codes $C$ over rings ${Ø}_K/p{Ø}_K$ d…