论文标题

卷积极性内核

Convolutional Polar Kernels

论文作者

Morozov, Ruslan

论文摘要

一个偏振核的家族与多项式复杂性算法一起呈现,用于计算缩放指数。提出的卷积极性内核基于卷积极性代码,也称为B-MERA代码。对于这些内核,提出了多项式复杂性算法,以找到计算缩放指数所需的不可恢复的擦除模式的重量谱。结果,我们获得了最高1024的卷积极性内核的缩放指数和极化速率。

A family of polarizing kernels is presented together with polynomial-complexity algorithm for computing scaling exponent. The proposed convolutional polar kernels are based on convolutional polar codes, also known as b-MERA codes. For these kernels, a polynomial-complexity algorithm is proposed to find weight spectrum of unrecoverable erasure patterns, needed for computing scaling exponent. As a result, we obtain scaling exponent and polarization rate for convolutional polar kernels of size up to 1024.

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