Automorphism Groups of BWD-codes
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Quantum Codes from Group Ring Codes
This article examines group ring codes over finite fields and finite groups. We also present a section on two-dimensional cyclic codes in the quotient ring $\mathbb{F}_q[x, y] / \langle x^{l} - 1, y^{m} - 1 \rangle$. These two-dimensional cyclic codes can be analyzed using the group ring $\mathbb{F}_q(C_{l} \times C_{m})$, where $C_{l}$ and $C_{m ...
Abdukhalikov, Kanat +2 more
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Abelian Group Codes for Source Coding and Channel Coding
In this paper, we study the asymptotic performance of Abelian group codes for the lossy source coding problem for arbitrary discrete (finite alphabet) memoryless sources as well as the channel coding problem for arbitrary discrete (finite alphabet) memoryless channels. For the source coding problem, we derive an achievable rate-distortion function that
Sahebi, Aria G., Pradhan, S. Sandeep
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Fault-Tolerant Logical Clifford Gates from Code Automorphisms
We study the implementation of fault-tolerant logical Clifford gates on stabilizer quantum error-correcting codes based on their symmetries. Our approach is to map the stabilizer code to a binary linear code, compute its automorphism group, and impose ...
Hasan Sayginel +4 more
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Editorial: Plate subduction and mineralization in East and Central Asia
Chun-Kit Lai +4 more
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Generalized Reed-Solomon codes over number fields and exact gradient coding
This paper describes generalized Reed-Solomon (GRS) codes over number fields that are invariant under certain permutations. We call these codes generalized quasi-cyclic (GQC) GRS codes.
Irwansyah +3 more
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Cyclic codes and primitive idempotents in the finite cyclic group algebras
Azhar O. Almalki, Ahmed A. Khammash
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The effect of age on third molar extraction difficulty: a retrospective cross-sectional cohort study. [PDF]
Noro A, Snäll J, Ventä I.
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Patterns of ICD-10 diagnoses in emergency departments of public hospitals in Malaysia: a cross-sectional study. [PDF]
Azzeri A +6 more
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Public Contribution in Qualitative Research With Parents of Children Treated for Cancer: Description of and Reflections on a Collaborative Data Analysis Approach. [PDF]
Thiblin E +7 more
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