A characterization of abelian group codes in terms of their parameters

In 1979, Miller proved that for a group G of odd order, two minimal group codes in \mathbb{F}_2G are G-equivalent if and only they have identical weight distribution. In 2014, Ferraz-Guerreiro-Polcino Milies disprove Miller's result by giving an example of two non-G-equivalent minimal codes with identical weight distribution. In this... Show more