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MDS Constacyclic Codes and MDS Symbol-Pair Constacyclic Codes [PDF]
IEEE Access, 2021 Symbol-pair codes are used to protect against symbol-pair errors in high density data storage systems. One of the most important tasks in symbol-pair coding theory is to design MDS codes.
Hai Q. Dinh +3 more
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Application of Constacyclic codes to Quantum MDS Codes [PDF]
IEEE Transactions on Information Theory, 2014 Quantum maximal-distance-separable (MDS) codes form an important class of quantum codes. To get $q$-ary quantum MDS codes, it suffices to find linear MDS codes $C$ over $\mathbb{F}_{q^2}$ satisfying $C^{\perp_H}\subseteq C$ by the Hermitian construction ...
Chen, Bocong, Ling, San, Zhang, Guanghui
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New MDS entanglement-assisted quantum codes from MDS Hermitian self-orthogonal codes
Designs, Codes and Cryptography, 2022 The intersection $$\textbf{C}\cap \textbf{C}^{\perp _H}$$ C ∩ C ⊥ H of a linear code $$\textbf{C} \subset \textbf{F}_{q^2}^n$$ C ⊂ F q 2 n and its Hermitian dual $$\textbf{C}^{\perp _H}$$ C ⊥ H is called the Hermitian hull of this code.
Hao Chen
semanticscholar +4 more sources
MDS Array Codes with Optimal Rebuilding [PDF]
2011 IEEE International Symposium on Information Theory Proceedings, 2011 MDS array codes are widely used in storage systems to protect data against erasures. We address the rebuilding ratio problem, namely, in the case of erasures, what is the the fraction of the remaining information that needs to be accessed in order to
Bruck, Jehoshua +2 more
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A pre-trained language model-based cross-modal fusion framework for predicting miRNA-drug resistance and sensitivity associations. [PDF]
PLoS Computational BiologyMicroRNAs (miRNAs) are pivotal regulators of drug resistance and sensitivity in cancer cells, functioning as tumor suppressors or oncogenes that modulate the cellular response to anticancer drugs.
Nan Sheng +5 more
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IEEE Transactions on Information Theory, 2021 An improved Singleton-type upper bound is presented for the list decoding radius of linear codes, in terms of the code parameters $[n,k,d]$ and the list size $L$ .
R. Roth
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Euclidean and Hermitian LCD MDS codes
Des. Codes Cryptogr., 2017 Linear codes with complementary duals (abbreviated LCD) are linear codes whose intersection with their dual is trivial. When they are binary, they play an important role in armoring implementations against side-channel attacks and fault injection attacks.
Carlet, Claude +3 more
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MDS Generalized Convertible Code
arXiv.orgIn this paper, we consider the convertible codes with the maximum distance separable (MDS) property, which can adjust the code rate according to the failure rates of devices.
Songping Ge, Han Cai, Xiaohu Tang
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Modulation Based on a Simple MDS Code: Achieving Better Error Performance Than Index Modulation and Related Schemes [PDF]
IEEE Transactions on Communications, 2021 In this paper, we propose two novel modulation concepts based on a simple maximum distance separable (MDS) code and show that these concepts can achieve better error performance than index modulation (IM) and related schemes. In the first concept, we use
Ferhat Yarkin, J. Coon
semanticscholar +1 more source
Projective MDS Codes Over GF(27)
مجلة بغداد للعلوم, 2021 MDS code is a linear code that achieves equality in the Singleton bound, and projective MDS (PG-MDS) is MDS code with independents property of any two columns of its generator matrix.
Emad Bakr Abdulkareem Al-Zangana
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