Isometries and Binary Images of Linear Block Codes over $Z_4+u{Z}_4$ and $Z_8+u{Z}_8$

Virgilio P. Sison, Monica N. Remillion

Let $F_2$ be the binary field and $Z_{2^r}$ the residue class ring of integers modulo $2^r$, where $r$ is a positive integer. For the finite $16$-element commutative local Frobeniu…