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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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Zigzag Codes: MDS Array Codes with Optimal Rebuilding [PDF]
IEEE Transactions on Information Theory, 2011 MDS array codes are widely used in storage systems to protect data against erasures. We address the \emph{rebuilding ratio} problem, namely, in the case of erasures, what is the fraction of the remaining information that needs to be accessed in order to ...
Itzhak Tamo +4 more
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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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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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Partial MDS Codes With Regeneration [PDF]
IEEE Transactions on Information Theory, 2021 Extended version of arXiv:2001 ...
Lukas Holzbaur +3 more
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On the Existence of XOR-Based Codes for Private Information Retrieval with Private Side Information
Entropy, 2021 We consider the problem of Private Information Retrieval with Private Side Information (PIR-PSI), wherein the privacy of the demand and the side information are jointly preserved. Although the capacity of the PIR-PSI setting is known, we observe that the
Murali Krishnan K. H., Jagadeesh Harshan
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Strongly-MDS convolutional codes [PDF]
IEEE Transactions on Information Theory, 2006 33 ...
Gluesing-Luerssen, H +2 more
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MDS Code Based Ultralightweight Authentication Protocol for RFID System
IEEE Access, 2023 Privacy and security are central issues in the deployment of an RFID system. It is vulnerable to several attacks, such as replay attacks, location tracking, man-in-middle attack, de-synchronization attack, etc., due to the inherent weaknesses of ...
Pramod Kumar Maurya +2 more
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Convertible Codes: New Class of Codes for Efficient Conversion of Coded Data in Distributed Storage [PDF]
, 2020 Erasure codes are typically used in large-scale distributed storage systems to provide durability of data in the face of failures. In this setting, a set of k blocks to be stored is encoded using an [n, k] code to generate n blocks that are then stored ...
Maturana, Francisco, Rashmi, K. V.
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