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Quantum codes from cyclic codes over the ring

WebGroup-based Cryptography in the Quantum Era. Delaram Kahrobaei. Ramón Flores. Marialaura Noce. Communicated by Notices Associate Editor Reza Malek-Madani. 1. … Web8 Finite Fields and Factoring xn-l over GF(q) 181 5. 9 Another Method for Factoring xn-l over GF(q)t 187 5. 10 Exercises 193 Chapter 6 BCH Codes and Bounds for Cyclic Codes 6. 1 …

Some constacyclic codes over Z2k and binary quasi-cyclic codes

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 ... WebBased on this method, we provide a construction for quantum error-correcting codes starting from cyclic codes over finite ring R = F 2 + uF 2. As an example, we present … sample of no show letters for dr office https://destaffanydesign.com

QUANTUM CODES FROM CODES OVER THE RING - DergiPark

WebIn this study, we construct quantum codes from cyclic codes over the ring R 2, for arbitrary length n, with the restrictions μ 2 = 0, υ 2 = 0, w 2 = 0, μυ = υμ, μw = wμ, υw = wυ and μ … Webquantum code state in this space after several cyclic shifts, the quantum codes will be correspondingly called quasi-cyclic quantum codes. In mathematical theory, a cyclic code … WebThe primary goal of this article is to study the structural properties of cyclic codes over a finite ring R=Fq[u1,u2]/ u12−α2,u22−β2,u1u2−u2u1 . We decompose the ... On the Construction of Quantum and LCD Codes from Cyclic Codes over the Finite Commutative Rings . by Shakir Ali. 1,*, Amal S. Alali. 2, Mohammad Jeelani. 3, Muhammet ... sample of nomination form for election

On the Construction of Quantum and LCD Codes from Cyclic …

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Quantum codes from cyclic codes over the ring

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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 … WebSchool of Mathematics and Statistics, Shandong University of Technology, Zibo, China 255091

Quantum codes from cyclic codes over the ring

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WebApr 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 … WebThe underlying codes are linear, and therefore have homomorphic properties and may be used in coding based quantum resistant cryptography. Show less See publication

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 … 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 …

Webmethod 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. http://maths.ccnu.edu.cn/info/1045/28050.htm

WebApr 6, 2024 · These findings highlight the role of [CO 2] on the reaction pathway (Fig. 4e and Supplementary Note 22) 26. Importantly, we identified that [CO 2 ] ≥ 0.2 mol l −1 unlocks …

WebTheory 44 (1998) 1543-1547). Furthermore, by means of this isometry, the concept of more »... negacyclic codes is extended to codes over the ring Z 2 k+1 , obtaining a class of … sample of non compete agreementWebMar 1, 2024 · A construction of quantum error-correcting codes from cyclic codes of odd length over the finite chain ring F 2 + u F 2 with u 2 = 0 was first given by Qian et al. in [55]. … sample of no objection letter for bankWebTY - 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 … sample of non renewal of lease letterWebA new method to obtain self-orthogonal codes over finite field F2 is presented and an example of infinite families of quantum error-correcting codes which are derived from … sample of non disclosure agreementWebMar 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 … sample of non disclosure agreement pdfWebJul 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 … sample of non verbal cuesWeb8 Finite Fields and Factoring xn-l over GF(q) 181 5. 9 Another Method for Factoring xn-l over GF(q)t 187 5. 10 Exercises 193 Chapter 6 BCH Codes and Bounds for Cyclic Codes 6. 1 Introduction 201 6. 2 BCH Codes and the BCH Bound 205 6. 3 Bounds for Cyclic Codest 210 6. 4 Decoding BCH Codes 215 6. 5 sample of notarized document