Jun 19, 2024 · Abstract: BCH codes are an interesting class of cyclic codes due to their efficient encoding and decoding algorithms.
Dec 9, 2023 · BCH codes are an interesting class of cyclic codes due to their efficient encoding and decoding algorithms. In the past sixty years, ...
Dec 9, 2023 · In this paper, the lower bounds on the minimum distances of the duals of narrow-sense BCH codes with length \frac{q^m-1}{\lambda} over \mathbb{F}_q are ...
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In this paper, the lower bounds on the minimum distances of the duals of narrow-sense BCH codes with length q<sup>m</sup> −1/λ over F <sub xmlns:mml="http://www ...
Nov 1, 2024 · Article on The Duals of Narrow-Sense BCH Codes With Length qm −1/λ, published in IEEE Transactions on Information Theory 70 on 2024-11-01 by ...
In this subsection, we show the sufficient and necessary condition for Cδ being a dually-BCH code, where λ = qs −. 1 and s | m. To this end, the following lemma ...
Two Classes of Narrow-Sense BCH Codes and Their Duals · Xiaoqiang Wang ... The duals of narrow-sense BCH codes with length (qm-1)/λ · Xiaoqiang Wang ...
Two classes of narrow-sense BCH codes and their duals - ResearchGate
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Oct 16, 2022 · BCH codes and their dual codes are two special subclasses of cyclic codes and are the best linear codes in many cases.
The duals of narrow-sense BCH codes with length (qm-1)/λ · Xiaoqiang Wang ... The lower bounds on the minimum distances of the duals of narrow-sense BCH ...
This paper will settle this open problem by presenting an infinite family of BCH codes holding the Witt spherical geometry design S(3, q +1, qm +1) for any ...