实现Line-Hermitian Grassmann码
Implementing Line-Hermitian Grassmann codes
摘要:
在[I. Cardinali和L.朱齐线Hermitian Grassmann码及其参数有限域应用51:407-432,2018]我们引入了线厄米特格拉斯曼码并确定了它们的参数。本文的目的是提出(在精神[I. Cardinali和L.朱齐线极格拉斯曼数的计数编码及其在编码中的应用。有限域应用46:107-138,2017])一种用于线Hermitian Grassmannian的点计数器的算法,其可以有用地应用于获得用于上述代码的有效编码器、解码器和纠错算法。
英文摘要:
In [I. Cardinali and L. Giuzzi. Line Hermitian Grassmann codes and their parameters. Finite Fields Appl., 51: 407-432, 2018] we introduced line Hermitian Grassmann codes and determined their parameters. The aim of this paper is to present (in the spirit of [I. Cardinali and L. Giuzzi. Enumerative coding for line polar Grassmannians with applications to codes. Finite Fields Appl., 46:107-138, 2017]) an algorithm for the point enumerator of a line Hermitian Grassmannian which can be usefully applied to get efficient encoders, decoders and error correction algorithms for the aforementioned codes.
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