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Quantum codes from cyclic codes over the ring

WebNov 30, 2024 · Abstract. For any odd prime p, we study constacyclic codes of length n over the finite commutative non-chain ring Rk, m = Fpm[u1, u2, …, uk] / u2i − 1, uiuj − ujui i ≠ j = … WebIn this letter, we construct quantum codes from cyclic codes over F p and F p S ℓ, where S ℓ = Π i∈Iℓ R i, for R i = (Fp[u])/(〈u i+1-u〉). For that, first we construct linear codes and a Gray …

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WebMentioning: 4 - In this paper, we study nonbinary quantum codes from cyclic codes over the ring [Formula: see text] for odd prime [Formula: see text]. We give the constructional … WebMar 2, 2016 · Modified the construction of polar codes using the Cooley-Tukey FFT structure so that the message and codeword become Fourier Transform pairs thus leading to a … WebThe decisional Diffie–Hellman (DDH) assumption is a computational hardness assumption about a certain problem involving discrete logarithms in cyclic groups. It is used as the … pain when pressing on forehead

Quantum codes constructed from cyclic codes over the ring - arXiv

Category:NEW QUANTUM AND LCD CODES FROM CYCLIC CODES OVER A …

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Quantum codes from cyclic codes over the ring

On the Construction of Quantum and LCD Codes from Cyclic Codes over …

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

Quantum codes from cyclic codes over the ring

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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 … 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 …

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 software is currently available in over 150 countries, and users can access it through the official Quantum Code website. Visit Quantum Code. How does Quantum Code claim to …

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 … WebApr 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 …

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 …

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. pain when pressing under right rib cageWebon 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 … suga wholly or whole meWebMar 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 … suga weightWebThe 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 ... pain when pressing upper center abdomenWebFrom Error-correcting Codes Through Sphere Packings to Simple Groups - Thomas M. Thompson (matematyka) 1983 La teoria che non voleva morire - Sharon Bertsch … pain when pushing on belly buttonWebMar 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]. … pain when pushing on chestWebGroup-based Cryptography in the Quantum Era. Delaram Kahrobaei. Ramón Flores. Marialaura Noce. Communicated by Notices Associate Editor Reza Malek-Madani. 1. … suga windsor