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

Carla Mascia; Giancarlo Rinaldo; Massimiliano Sala

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arXiv · 1607.07241

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

Carla Mascia·Giancarlo Rinaldo·Massimiliano Sala

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Abstract

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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Carla Mascia, Giancarlo Rinaldo, Massimiliano Sala. 2016-07-25. Hilbert quasi-polynomial for order domains and application to coding theory. https://arxiv.org/abs/1607.07241

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