Results 21 to 30 of about 4,907,516 (322)
Surface codes: Towards practical large-scale quantum computation [PDF]
, 2012 This article provides an introduction to surface code quantum computing. We first estimate the size and speed of a surface code quantum computer. We then introduce the concept of the stabilizer, using two qubits, and extend this concept to stabilizers ...
A. Fowler +3 more
semanticscholar +1 more source
Twisted Reed–Solomon Codes With One-Dimensional Hull [PDF]
IEEE Communications Letters, 2020 The hull of a linear code is defined to be the intersection of the code and its dual. When the size of the hull is small, it has been proved that some algorithms for checking permutation equivalence of two linear codes and computing the automorphism ...
Yansheng Wu
semanticscholar +1 more source
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
doaj +1 more source
On extremal self-dual ternary codes of length 48 [PDF]
, 2011 All extremal ternary codes of length 48 that have some automorphism of prime order $p\geq 5$ are equivalent to one of the two known codes, the Pless code or the extended quadratic residue ...
Nebe, Gabriele
core +4 more sources
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.
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Some Constacyclic Codes over Finite Chain Rings [PDF]
, 2012 For $\lambda$ an $n$-th power of a unit in a finite chain ring we prove that $\lambda$-constacyclic repeated-root codes over some finite chain rings are equivalent to cyclic codes. This allows us to simplify the structure of some constacylic codes.
Batoul, Aicha +2 more
core +1 more source
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
doaj +1 more source
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
doaj +1 more source