Results 11 to 20 of about 2,782,523 (317)
New LCD MDS Codes of Non-Reed-Solomon Type [PDF]
IEEE Transactions on Information Theory, 2021 Both linear complementary dual (LCD) codes and maximum distance separable (MDS) codes have good algebraic structures, and they have interesting practical applications such as communication systems, data storage, quantum codes, and so on.
Yansheng Wu, J. Hyun, Yoonjin Lee
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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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MDS Code Constructions With Small Sub-Packetization and Near-Optimal Repair Bandwidth [PDF]
IEEE Transactions on Information Theory, 2017 This paper addresses the problem of constructing maximum distance separable (MDS) codes that enable exact reconstruction (repair) of each code block by downloading a small amount of information from the remaining code blocks.
A. Rawat +3 more
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The Extended Codes of a Family of Reversible MDS Cyclic codes [PDF]
IEEE Transactions on Information Theory, 2023 A linear code with parameters $[n, k, n-k+1]$ is called a maximum distance separable (MDS for short) code. A linear code with parameters $[n, k, n-k]$ is said to be almost maximum distance separable (AMDS for short).
Zhonghua Sun, C. Ding
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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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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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Strongly-MDS convolutional codes [PDF]
IEEE Transactions on Information Theory, 2006 33 ...
Gluesing-Luerssen, H +2 more
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Near MDS and near quantum MDS codes via orthogonal arrays [PDF]
Quantum Science and Technology, 2023 Near maximum distance separable (NMDS) codes are closely related to interesting objects in finite geometry and have nice applications in combinatorics and cryptography. But there are many unsolved problems about construction of NMDS codes. In this paper,
S. Pang +3 more
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On the Structure of Higher Order MDS Codes [PDF]
International Symposium on Information Theory, 2023 A code of length n is said to be (combinatorially) (ρ, L)-list decodable if the Hamming ball of radius ρn around any vector in the ambient space does not contain more than L codewords. We study a recently introduced class of higher order MDS codes, which
Harshithanjani Athi +3 more
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Duality of generalized twisted Reed-Solomon codes and Hermitian self-dual MDS or NMDS codes [PDF]
Cryptography and Communications, 2022 Self-dual MDS and NMDS codes over finite fields are linear codes with significant combinatorial and cryptographic applications. In this paper, firstly, we investigate the duality properties of generalized twisted Reed-Solomon (abbreviated GTRS) codes in ...
Guanmin Guo +3 more
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