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Projective MDS Codes Over GF(27)‎

open access: yesمجلة 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
doaj   +2 more sources

MDS Constacyclic Codes and MDS Symbol-Pair Constacyclic Codes [PDF]

open access: yesIEEE 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
doaj   +3 more sources

The Weights in MDS Codes [PDF]

open access: yesIEEE Transactions on Information Theory, 2011
5 pages, submitted to IEEE Trans. IT. This version 2 is the revised version after the refereeing process.
Markus Grassl   +2 more
exaly   +5 more sources

Maternal systemic autoimmune rheumatic diseases and childhood mental disorders: a nationwide cohort study [PDF]

open access: yesLupus Science and Medicine
Objective Prior studies suggested that maternal systemic autoimmune rheumatic diseases (SARDs) may increase the risk of mental disorders (MDs) in offspring.
Pei-Chen Lee   +6 more
doaj   +2 more sources

Partial MDS Codes With Regeneration [PDF]

open access: yesIEEE Transactions on Information Theory, 2021
Extended version of arXiv:2001 ...
Lukas Holzbaur   +3 more
openaire   +3 more sources

On the Classification of MDS Codes [PDF]

open access: yesIEEE Transactions on Information Theory, 2015
Submitted to IEEE transactions on Information Theory; presented in part at the 4th International Castle Meeting in Coding Theory and Applications, Palmela, Portugal, September ...
Krotov, Denis S.   +3 more
openaire   +3 more sources

MDS Code Based Ultralightweight Authentication Protocol for RFID System

open access: yesIEEE 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
doaj   +1 more source

On the Existence of XOR-Based Codes for Private Information Retrieval with Private Side Information

open access: yesEntropy, 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
doaj   +1 more source

On Euclidean Hulls of MDS Codes [PDF]

open access: yesCryptography and Communications, 2020
In this paper, we propose a mechanism on the constructions of MDS codes with arbitrary dimensions of Euclidean hulls. Precisely, we construct (extended) generalized Reed-Solomon(GRS) codes with assigned dimensions of Euclidean hulls from self-orthogonal GRS codes.
Xiaolei Fang, Meiqing Liu, Jinquan Luo
openaire   +4 more sources

On near–MDS codes and caps

open access: yesDesigns, Codes and Cryptography, 2022
Several classes of near-MDS codes of ${\rm PG}(3,q)$ are described. They are obtained either by considering the intersection of an elliptic quadric ovoid and a Suzuki-Tits ovoid of a symplectic polar space ${\cal W}(3, q)$ or starting from the $q+1$ points of a twisted cubic of ${\rm PG}(3, q)$. As a by-product two classes of complete caps of ${\rm PG}(
Ceria M.   +3 more
openaire   +6 more sources

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