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- W4205657583 abstract "The polar codes defined by the kernel matrix are a class of codes with low coding-decoding complexity and can achieve the Shannon limit. In this paper, a novel method to construct the 2n-dimensional kernel matrix is proposed, that is based on primitive BCH codes that make use of the interception, the direct sum and adding a row and a column. For ensuring polarization of the kernel matrix, a solution is also put forward when the partial distances of the constructed kernel matrix exceed their upper bound. And the lower bound of exponent of the 2n-dimensional kernel matrix is obtained. The lower bound of exponent of our constructed kernel matrix is tighter than Gilbert-Varshamov (G-V) type, and the scaling exponent is better in the case of 16-dimensional." @default.
- W4205657583 created "2022-01-26" @default.
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- W4205657583 date "2022-01-01" @default.
- W4205657583 modified "2023-09-30" @default.
- W4205657583 title "On the Construction of the Kernel Matrix by Primitive BCH Codes for Polar Codes" @default.
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- W4205657583 doi "https://doi.org/10.4236/cn.2022.141003" @default.
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