Results 11 to 20 of about 157,158 (262)
Characters and the equivalence of codes
Journal of Combinatorial Theory, Series A, 1996 Let \(K\) be a finite field. A linear code of dimension \(k\) and block length \(n\) is a \(k\)-dimensional \(K\)-linear subspace \(C\) of the \(n\)-dimensional vector space \(K^n\) over \(K\). Two linear codes \(C_1\) and \(C_2\) in \(K^n\) are equivalent if there exists a monomial transformation \(T: K^n\to K^n\) such that \(T(C_1)= C_2 ...
Harold N. Ward, Jay A. Wood
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The equivalence of GRS codes and EGRS codes
CoRR, 2022 Generalized Reed-Solomon and extended generalized Reed-Solomon (abbreviation to GRS and EGRS) codes are the most well-known family of MDS codes with wide applications in coding theory and practice. Let $\mathbb{F}_q$ be the $q$ elements finite field, where $q$ is the power of a prime.
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Quantum variational learning for quantum error-correcting codes [PDF]
Quantum, 2022 Quantum error correction is believed to be a necessity for large-scale fault-tolerant quantum computation. In the past two decades, various constructions of quantum error-correcting codes (QECCs) have been developed, leading to many good code families ...
Chenfeng Cao +4 more
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Seismic codes based equivalent nonlinear and stochastic soil structure interaction analysis
Studia Geotechnica et Mechanica, 2020 The aim of this study is to consider the effects of the variation of shear modulus ratio (G/G0) and damping ratio (ξ) of soil, obtained by a linear iterative method based on the design spectra of seismic codes, the soil environment in terms of ...
Guellil Mohamed Elhebib +2 more
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Dickson Matrix Based Construction of Linear Maximum Rank Distance Codes
IEEE Access, 2020 Maximum rank distance (MRD for short) codes lately attract more attention due to their various applications in storage systems, network coding, cryptography and space time coding.
Shu Liu, Yaxin Zhang
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NOISE IMMUNITY CODES DISPLAY IN RELIABILITY CORDINATES
Information and Telecommunication Sciences, 2015 Background. Noise immunity codes are widely used in the modern telecommunication systems. The methodology of properties count of convolutional codes, offered by authors before, to the equivalent parameters of block codes gave the opportunity to use the ...
Leonid Uryvskyi, Anton Pieshkin
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Quantum Lego: Building Quantum Error Correction Codes from Tensor Networks
PRX Quantum, 2022 We introduce a flexible and graphically intuitive framework that constructs complex quantum error correction codes from simple codes or states, generalizing code concatenation.
ChunJun Cao, Brad Lackey
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Scaling Analysis of Multilevel Polar Coded Modulation
IEEE Access, 2019 In this paper, we analyze and prove the capacity-achieving property of the equivalent asymmetric channels of multilevel polar-coded modulation in view of the scaling assuming regime, which employ some techniques of symmetric channels.
Kun Zhao +3 more
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Frontiers in Psychology, 2021 Emoji faces, which are ubiquitous in our everyday communication, are thought to resemble human faces and aid emotional communication. Yet, few studies examine whether emojis are perceived as a particular emotion and whether that perception changes based ...
Jennifer M. B. Fugate, Courtny L. Franco
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On the Girth of Tanner (3, 13) Quasi-Cyclic LDPC Codes
IEEE Access, 2019 Girth is an important structural property of low-density parity-check (LDPC) codes. Motivated by the works on the girth of Tanner (3, 5), (3, 7), (3, 11), and (5, 7) quasi-cyclic (QC) LDPC codes, we, in this paper, study the girth of Tanner (3, 13) QC ...
Hengzhou Xu +4 more
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