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A Note on the Relation between a Sampling Theorem for Functions over a GF(q)~n Domain and Linear Codes

机译:关于GF(Q)〜n域和线性码的采样定理与函数的采样定理关系的说明

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In this paper, we generalize the sampling theorem for bandlimited functions over the Boolean domain to a sampling theorem for bandlimited functions over a GF(q)~n domain. We also present a theorem for the relation between the parity check matrix of a linear code and any distinct error vectors. Lastly, we clarify the relation between the sampling theorem for functions over a GF(q)~n domain and linear codes.
机译:在本文中,我们将带状域上的带状函数的采样定理概括为在GF(Q)〜n域上的带状函数的采样定向式。我们还为线性代码的奇偶校验矩阵与任何不同的错误向量之间提供了一个定理。最后,我们阐明了通过GF(q)〜n域和线性码函数的采样定理之间的关系。

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