Mac Williams identities for linear codes as polarized Riemann-Roch conditions.
Азнив Каспарян, Ivan Marinov · arXiv (Cornell University) · 2016
The present note shows that Mac Williams identities for the weight distribution of mutually dual linear codes are equivalent to Polarized Riemann-Roch Conditions on their zeta functions. It provides some averaging and probabilistic interpretations of the coefficients of Duursma's reduced polynomial of a linear code.