Results 31 to 40 of about 2,796,806 (297)
MDS codes in Doob graphs [PDF]
Problems of Information Transmission, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Evgeny Bespalov, Denis S. Krotov
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On additive MDS codes with linear projections [PDF]
Finite Fields Their Appl., 2022 We support some evidence that a long additive MDS code over a finite field must be equivalent to a linear code. More precisely, let $C$ be an $\mathbb F_q$-linear $(n,q^{hk},n-k+1)_{q^h}$ MDS code over $\mathbb F_{q^h}$.
S. Adriaensen, Simeon Ball
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Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes [PDF]
IEEE Transactions on Information Theory, 2010 In this paper, we first construct several classes of classical Hermitian self-orthogonal maximum distance separable (MDS) codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obtained from all previous ...
Lingfei Jin +3 more
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MDS codes with Euclidean and Hermitian hulls of flexible dimensions and their applications to EAQECCs [PDF]
Quantum Information Processing, 2022 The hull of a linear code is the intersection of itself with its dual code with respect to certain inner product. Both Euclidean and Hermitian hulls are of theorical and practical significance.
Yang Li, Ruhao Wan, Shixin Zhu
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On nearly-MDS expander codes [PDF]
International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings., 2004 A construction of graph codes is presented that approaches the singleton bound as the alphabet size goes to infinity. These codes can be decoded by a combined error-erasure decoder whose time complexity grows linearly with the code length.
Ron M. Roth, Vitaly Skachek
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Advances in Cancer Biology - Metastasis, 2022 DEAD-box RNA helicase 3 (DDX3) is a versatile target that is elevated in several cancer cases besides being a validated target for viral infections. RK-33 is a well-known compound that has been used to target DDX3.
Shailima Rampogu +2 more
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Four New Families of Quantum Stabilizer Codes from Hermitian Self-Orthogonal MDS codes
International Symposium on Turbo Codes and Iterative Information Processing, 2023 We construct codes from rational function fields and provide sufficient conditions for a rational algebraic geometry code to be Hermitian self-orthogonal.
L. Sok, M. F. Ezerman, San Ling
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On Grid Quorums for Erasure Coded Data
Entropy, 2021 We consider the problem of designing grid quorum systems for maximum distance separable (MDS) erasure code based distributed storage systems. Quorums are used as a mechanism to maintain consistency in replication based storage systems, for which grid ...
Frédérique Oggier, Anwitaman Datta
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MDS coded caching with MRT and its optimization
ICT Express, 2019 In conventional maximum distance separable (MDS) coded caching systems, storage-efficient caching strategy which minimizes unnecessarily redundant data is believed to be optimal.
Gibum Kim, Hyuncheol Park, Wan Choi
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Provable Security of SP Networks with Partial Non-Linear Layers
IACR Transactions on Symmetric Cryptology, 2021 Motivated by the recent trend towards low multiplicative complexity blockciphers (e.g., Zorro, CHES 2013; LowMC, EUROCRYPT 2015; HADES, EUROCRYPT 2020; MALICIOUS, CRYPTO 2020), we study their underlying structure partial SPNs, i.e., Substitution ...
Chun Guo +4 more
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