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Projective MDS Codes Over GF(27)
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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MDS Constacyclic Codes and MDS Symbol-Pair Constacyclic Codes [PDF]
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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The Weights in MDS Codes [PDF]
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]
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
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Partial MDS Codes With Regeneration [PDF]
Extended version of arXiv:2001 ...
Lukas Holzbaur +3 more
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On the Classification of MDS Codes [PDF]
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
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MDS Code Based Ultralightweight Authentication Protocol for RFID System
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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On the Existence of XOR-Based Codes for Private Information Retrieval with Private Side Information
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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On Euclidean Hulls of MDS Codes [PDF]
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
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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

