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
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