@article {IOPORT.06062674,
    author       = {Byrne, Eimear and Kiermaier, Michael and Sneyd, Alison},
    title        = {Properties of codes with two homogeneous weights.},
    year         = {2012},
    journal      = {Finite Fields and their Applications},
    volume       = {18},
    number       = {4},
    issn         = {1071-5797},
    pages        = {711-727},
    publisher    = {Elsevier Science (Academic Press), San Diego, CA},
    doi          = {10.1016/j.ffa.2012.01.002},
    abstract     = {Summary: Delsarte showed that for any projective linear code over a finite field $GF(p^{r})$ with two nonzero Hamming weights $w_{1}< w_{2}$ there exist positive integers $u$ and $s$ such that $w_{1}=p^{s} u$ and $w_{2}=p^{s}$(u+1). Moreover, he showed that the additive group of such a code has a strongly regular Cayley graph. Here we show that for any regular projective linear code C over a finite Frobenius ring with two integral nonzero homogeneous weights $w_{1} < w_{2}$ there is a positive integer $d$, a divisor of $|C|$, and positive integer $u$ such that $w_{1}=du$ and $w_{2}=d(u+1)$. This gives a new proof of the known result that any such code yields a strongly regular graph. We apply these results to existence questions on two-weight codes.},
    identifier   = {06062674},
}