Hadamard matrices related to a certain series of ternary self-dual codes

Makoto Araya, Masaaki Harada, Koji Momihara

In 2013, Nebe and Villar gave a series of ternary self-dual codes of length $2(p+1)$ for a prime $p$ congruent to $5$ modulo $8$. As a consequence, the third ternary extremal self-…