Maximum weight spectrum codes

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August undefined, 2024

Web31 jul. 2024 · A linear $ [n,k]_q $ code $ C $ is said to be a full weight spectrum (FWS) code if there exist codewords of each nonzero weight less than or equal to $ n $. In this … Webconjecture was proved correct in [1]. Codes meeting this bound are called maximum weight spectrum (MWS) codes. A further re nement was also investigated in [10] by …

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Web11 mrt. 2024 · Following the notation established in [2], these codes are now known as maximum weight spectrum (MWS) codes. Observe that DW codes are a particular … Web11 mrt. 2024 · In the recent work [ 9 ], a combinatorial problem concerning linear codes over a finite field \begin{document}$\mathbb{F}_q$\end{document} was introduced. In that … black cat in cage

Relaxation bounds on the minimum pseudo-weight of linear block …

Web6 jul. 2024 · GamerTweak is where passionate gamers like you will find everything they need to know about video games - new and old. The goal of GT is to be the best source … WebA q-ary linear code of dimension k is called a maximum weight spectrum (MWS) code if it has the maximum possible number (viz. (qk − 1)/(q − 1)) of different non-zero weights. … WebFor a code of dimension k over the ﬁnite ﬁeld Fq, they showed that the size of the weight set is bounded above by θq(k−1) = q k−1 q−1. They proved this bound to be sharp for … black cat in box

Maximum weight spectrum codes

WebSpectral Enhanced Rectangle Transformer for Hyperspectral Image Denoising Miaoyu Li · Ji Liu · Ying Fu · Yulun Zhang · Dejing Dou Dynamic Aggregated Network for Gait … Web20 jul. 2024 · In this paper, the weight spectrum of upper-triangular pre-transformed polar codes is mathematically analyzed. In particular, we focus on calculating the number of …

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Web9 sep. 2005 · Abstract: Just as the Hamming weight spectrum of a linear block code sheds light on the performance of a maximum likelihood decoder, the pseudo-weight … Webq linear code, that is the set of non-zero distinct Hamming weights, showing that its cardinality is upper bounded by qk 1 q 1. Codes meeting this bound are said to be …

WebIn the recent work [7], a combinatorial problem concerning linear codes over a finite field Fq was introduced. In that work the authors studied the weight set of an [n,k]q linear code, … Web17 apr. 2024 · Maximum Weight Spectrum Codes Papers With Code Maximum Weight Spectrum Codes 17 Apr 2024 · Alderson Tim L. , Neri Alessandro · Edit social preview …

WebOn the Weight Spectrum of Good Linear Binary Codes Ruoheng Liu, Student Member, IEEE, ... codes, maximum-likelihood (ML) decoding, turbo codes, weight spectrum. I. … WebThe first relies on the geometric view of linear codes as systems of projective points. The second approach is purely algebraic. We establish some lower bounds on the length of …

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