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Quantum codes from cyclic codes over the ring

WebAug 3, 2024 · In this paper, we study nonbinary quantum codes from cyclic codes over the ring F p [u] / 〈 u 3 − u 〉 for odd prime p. We give the constructional properties of linear … WebWe consider design of the quantum stabilizer codes via a two-step, low-complexity approach based on the framework of codeword-stabilized (CWS) codes. In this framework, each …

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WebMar 14, 2024 · On the structure of cyclic codes over M2(Fp+uFp) Indian Journal of Pure and Applied Mathematics 14 de junio de 2024 Ver publicación. Quantum Codes Obtained from … WebNov 21, 2011 · As an application, they generated quantum codes over F p derived from cyclic and negacyclic codes over R. Ozen et al. [13] studied the structure of the ring F 3 + … department of chemistry indiana university https://ryangriffithmusic.com

Quantum codes over the ring F_2 + uF_2 - Semantic Scholar

WebApr 1, 2024 · We examine cyclic codes over a finite commutative non-chain ring ℛ = F q [ u, v] / 〈 u 2 − γ u, v 2 − ϵ v, u v − v u 〉 for γ, ϵ ∈ F q * and its relevance in the generation of optimal LCD codes and comparatively new quantum codes. It is worth noting that the ring in [21] is a specific form of our fundamental ring ℛ (for γ ... WebJul 21, 2024 · In this paper, the structure of cyclic codes over the ring R is studied and a Gray map $$\phi $$ from $${R^n}$$ to $${\mathbb {F}}_q^{(r + 1)n}$$ is given. We give a … department of chemistry bar

On the Construction of Quantum and LCD Codes from Cyclic …

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Quantum codes from cyclic codes over the ring

Quantum Codes From Cyclic Codes Over The Ring R2 - IOPscience

WebTY - JOUR. T1 - Improved reconciliation with polar codes in quantum key distribution. AU - Lee, Sunghoon. AU - Park, Jooyoun. AU - Heo, Jun. N1 - Funding Information: This work … WebA homological quantum rotor code is an extension of analog stabilizer codes to rotors. The code is stabilized by a continuous group of rotor X-type and Z-type generalized Pauli operators. Codes are formulated using an extension of the qubit CSS-to-homology correspondence to rotors. The homology group of the logical operators has a torsion …

Quantum codes from cyclic codes over the ring

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WebJan 27, 2024 · In this paper, we study on linear, cyclic, self-dual and self-orthogonal codes over the ring Rq. We especially focus on extremal self-dual codes over F q $\\mathbb … WebMar 25, 2024 · In this paper, we provide two methods of constructing quantum synchronizable codes from cyclic or constacyclic codes over finite rings. The first one is …

WebSchool of Mathematics and Statistics, Shandong University of Technology, Zibo, China 255091 WebINIS Repository Search provides online access to one of the world's largest collections on the peaceful uses of nuclear science and technology. The International Nuclear …

WebMar 15, 2024 · Let k,m be positive integers and F2m be a finite field of order 2m of characteristic 2. The primary goal of this paper is to study the structural properties of … WebOct 17, 2024 · 4 Doule cyclic codes over another one finite chain ring [11] Double l-constacyclic codes over finite chain rings Further extension of double cyclic codes over …

WebApr 10, 2024 · Afterwards, Ozen et al. constructed many ternary quantum codes from cyclic codes over F 3 + u F 3 + v F 3 + u v F 3. In 2024, Ashraf et al. found better quantum and …

WebThe underlying codes are linear, and therefore have homomorphic properties and may be used in coding based quantum resistant cryptography. Show less See publication department of chemistry iit kharagpurWebApr 10, 2024 · A systematic study into the Sonogashira cross-coupling of 1,1'-diiodoferrocene (fcI2) confirms that the Pd(0)-P(tBu)3 system provides a remarkable rate increase over Pd(0)-(PPh3)2. Attempts to couple 4-ethynylphenylthioacetate (2) with fcI2 instead produced a novel cyclic trimer of the former, from syn addn. of S-Ac across C≡C. fha roof lifeWebApr 21, 2024 · Abstract: In this paper, we provide two methods of constructing quantum codes from linear codes over finite chain ... +u\mathbb{F}_{p^{2m}}$. The good … department of chemistry lancaster universityWebIt has the property of cyclic symmetry with respect to interchange of the three orthogonal axes, a single bifurcation parameter that governs the damping and the attractor … fha rules on buying from familyWebon quantum computers ... subring of End(E) containing all endomorphisms of E defined over F p. The ring EndFp (E) is isomorphic to an order in the imaginary quadratic field Q(p … fha rules on charge off accountsWebOct 1, 2015 · In this paper, we study quantum error-correcting codes from cyclic codes over the ring R, where R is a non-chain extension of F p< small>< sub>. we give a method to … department of chemistry liverpool universityWebmethod for constructing quantum codes from cyclic codes over nite ring F 2 +vF 2. In [20] two new classes of binary quantum codes with minimum distance of at least ... [19] J. Qian, Quantum codes from cyclic codes over nite ring F 2+vF 2, Journal of Informmation and Computational Science, 10:6 (2013) 1715-1722. fhas100