A Gleason formula for Ozeki polynomials (Q1601420)

The authors consider binary self-dual, doubly-even codes. \textit{M. Ozeki} [Math. Proc. Camb. Philos. Soc. 121, No. 1, 15-30 (1997; Zbl 0888.94028)] introduced the notion of a Jacobi polynomial in generalization of the weight polynomial of a code. The authors call such polynomials Ozeki polynomials. Their main result is a theorem about such codes which generalizes Gleason's theorem for the structure of the weight polynomial.