Results 11 to 20 of about 66,828 (235)
Reversible Codes in
IEEE AccessReversible codes play an essential role in coding theory because of their structural symmetry and broad applications in error control, cryptography, and DNA computing.
Bodigiri Sai Gopinadh, Venkatrajam Marka
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PERSYMMETRIC MATRIX AND ITS APPLICATION IN CODING THEORY
BarekengA persymmetric matrix is a square matrix that is symmetric concerning its antidiagonal. This article discusses some characteristics of a persymmetric matrix and its application in coding theory. A persymmetric matrix is used to form a generator matrix of
Ardi Nur Hidayat +2 more
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Journal of King Saud University: Computer and Information SciencesCloud storage greatly facilitates large-scale image hosting but also exposes encrypted content to the risk of visually plausible ciphertext-domain tampering after decryption.
Lingfeng Qu +5 more
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Constructing self-dual codes from group rings and reverse circulant matrices
Advances in Mathematics of Communications, 2021 A self-dual code is a code which satisfies \(C=C^\perp.\) The authors give a construction for self-dual codes over rings of characteristic \(2\) using group rings and reverse circulant matrices. They apply it to rings that are equipped with a gray map to the binary space to construct binary self-dual codes.
Gildea, Joe +3 more
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Linking Reversed and Dual Codes of Quasi-Cyclic Codes
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, 2022 SUMMARY It is known that quasi-cyclic (QC) codes over the finite field F 𝑞 correspond to certain F 𝑞 [ 𝑥 ] -modules. A QC code C is specified by a generator polynomial matrix 𝐺 whose rows generate C as an F 𝑞 [ 𝑥 ] -module.
R. T. Eldin, H. Matsui
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New binary and ternary LCD codes [PDF]
, 2017 LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field with cardinality larger than 3 ...
Galindo, Carlos +3 more
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Properties of polypyrrole polyvinilsulfate films for dual actuator sensing systems [PDF]
, 2017 One of the challenges of modern science is the development of actuators able to sense working conditions while actuation, mimicking the way in which biological organs work. Actuation of those organs includes nervous (electric) pulses dense reactive gels,
Fernández Otero, Toribio +2 more
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Polynomial-time T-depth Optimization of Clifford+T circuits via Matroid Partitioning [PDF]
, 2013 Most work in quantum circuit optimization has been performed in isolation from the results of quantum fault-tolerance. Here we present a polynomial-time algorithm for optimizing quantum circuits that takes the actual implementation of fault-tolerant ...
Amy, Matthew +2 more
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The origins and physical roots of life’s dual – metabolic and genetic – nature [PDF]
, 2017 This review paper aims at a better understanding of the origin and physical foundation of life’s dual – metabolic and genetic – nature. First, I give a concise ‘top-down’ survey of the origin of life, i.e., backwards in time from extant DNA/RNA/protein ...
De Tiège, Alexis
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Explicit MDS Codes with Complementary Duals [PDF]
, 2017 In 1964, Massey introduced a class of codes with complementary duals which are called Linear Complimentary Dual (LCD for short) codes. He showed that LCD codes have applications in communication system, side-channel attack (SCA) and so on. LCD codes have
Beelen, Peter, Jin, Lingfei
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