Hilbert quasi-polynomial for order domains and application to coding theory | Zendy

Carla Mascia | Zendy; Giancarlo Rinaldo | Zendy; Massimiliano Sala | Zendy

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Hilbert quasi-polynomial for order domains and application to coding theory

Author(s) -

Carla Mascia,

Giancarlo Rinaldo,

Massimiliano Sala

Publication year - 2018

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2018018

Subject(s) - mathematics , coding theory , computation , polynomial , order (exchange) , domain (mathematical analysis) , hilbert–poincaré series , coding (social sciences) , pure mathematics , algebra over a field , discrete mathematics , algorithm , mathematical analysis , statistics , finance , economics

We present an application of Hilbert quasi-polynomials to order domains, allowing the effective check of the second order-domain condition in a direct way. We also provide an improved algorithm for the computation of the related Hilbert quasi-polynomials. This allows to identify order domain codes more easily.

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