They turn out to be constant rank-profile - and hence one-weight - and generalize the simplex codes in both the Hamming and the rank metric. Finally, we focus on 2 2 -dimensional one-weight codes, deriving constraints on the parameters of those which are also MSRD, and we find a new ...
Codes in the sum-rank metric have received many attentions in recent years, since they have wide applications in the multishot network coding, the space-time coding and the distributed storage. Fundamental bounds, some explicit or probabilistic constructions of sum-rank codes and their decoding algo...
Sum-rank metric codes have recently attracted the attention of many researchers, due to their relevance in several applications. Mathematically, the sum-ra... E Camps-Moreno,E Gorla,C Landolina,... - Information Theory, IEEE Trans. on (T-IT) 被引量: 0发表: 2022年 The Generalized Tracial...
Codes based on skew polynomials over transcendental extensions of finite fields have been studied in [1], and a connection with cyclic convolutional codes has been established in [7], which includes some skew Reed–Solomon codes. A general study of Gabidulin and rank-metric codes over any ...
LT_CURRENT_REV_RANK 欄位 LT_FILL_ALL_LEVELS 欄位 LT_LCID 欄位 LT_MASK_STRUCT_LENGTH 欄位 LT_MASK_STRUCT_LEVEL 欄位 LT_MASK_STRUCT_TYPE_ENUM 欄位 LT_MASK_VALUE_SEPARATOR 欄位 LT_NAME 欄位 LT_ONLY_ALLOW_CODES_IN_TABLE 欄位 LT_ONLY_ALLOW_LEAF_NODES 欄位 LT_PARENT_STRUCT_UID 欄位...
With OWSum, we can rank the features for each descriptor. As this is hard to display in a six-dimen- sional case, we show this for features of the two descrip- tors 'fruity, other than citrus' and 'sickening' in Fig. 4. We cannot make general assumptions regarding what a ...
Biderivations of the higher rank Witt algebra without anti-symmetric condition Some remarks on spectra of nuclear operators Recursive interpolating sequences Involutory biquandles and singular knots and links Constacyclic codes over 𝔽pm[u1, u2,⋯,uk]/〈 ui2 = ui, uiuj = ujui〉 Top...
The embedding result is tested with Spearman's rank correlation. stackGAN-v2: Pytorch implementation for reproducing StackGAN_v2 results in the paper StackGAN++: Realistic Image Synthesis with Stacked Generative Adversarial Networks by Han Zhang*, Tao Xu*, Hongsheng Li, Shaoting Zhang, Xiaogang Wang...
MSRD codesgeneralized weightsSum-rank metric codes have recently attracted the attention of many researchers, due to their relevance in several applications. Mathematically, the sum-rank metric is a natural generalization of both the Hamming metric and the rank metric. In this paper, we provide an...
Simplex codesSum-rank metricSum-rank Hamming codes are introduced in this work. They are essentially defined as the longest codes (thus of highest information rate) with minimum sum-rank distance at least 3 (thus one-error-correcting) for a fixed redundancy r, base-field size q and field-...