10 papers
Valley-resolved high harmonics probe symmetry breaking beyond the Dirac cone
Pablo Pais, Alfredo Iorio, Marcelo F. Ciappina
Low-energy electrons in graphene obey an emergent, rotationally invariant Dirac equation, while the honeycomb lattice enters only through higher-order, symmetry-breaking correction…
Convertible Polynomial Evaluation Codes in the Merge Regime: A Skew-Polynomial Framework
Songping Ge, Han Cai, Xiaohu Tang
In this paper, we develop an algebraic framework for merge-regime convertible codes that works directly with the polynomial-evaluation structure of the underlying codes. We charact…
Convertible Codes: MSR-to-MSR Conversion with Optimal Access and Bandwidth
Yumeng Yang, Han Cai, Xianfu Lei +1
In this paper, we study convertible codes in the merge regime and focus on the minimum storage regenerating (MSR) setting, where both the initial codes and the final code admit opt…
Locally Repairable Convertible Codes: Improved Lower Bound and General Construction
Songping Ge, Han Cai, Xiaohu Tang
In this paper, we consider the convertible code with locally repairable property. We present an improved lower bound on access cost associated with . Then, we provide a gene…
A New Cooperative Repair Scheme with Small Finite Field for Distributed Storage Systems
Yajuan Liu, Han Cai, Xiaohu Tang
In this paper, we consider the multiple failures in the distributed storage systems under the cooperative repair model. We introduce a new cooperative repair scheme for the (n,k,d,…
MDS Generalized Convertible Code
Songping Ge, Han Cai, Xiaohu Tang
In this paper, we consider the convertible codes with the maximum distance separable (MDS) property, which can adjust the code rate according to the failure rates of devices. We fi…
Private Multiple Linear Computation: A Flexible Communication-Computation Tradeoff
Jinbao Zhu, Lanping Li, Xiaohu Tang +1
We consider the problem of private multiple linear computation (PMLC) over a replicated storage system with colluding and unresponsive constraints. In this scenario, the user wishe…
Construction of Locally Repairable Array Codes with Optimal Repair Bandwidth under the Rack-Aware Storage Model
Yumeng Yang, Han Cai, Xiaohu Tang
In this paper, we discuss codes for distributed storage systems with hierarchical repair properties. Specifically, we devote attention to the repair problem of the rack-aware stora…
A Transformation of Repairing Reed-Solomon Codes from Rack-Aware Storage Model to Homogeneous Storage Model
Yumeng Yang, Han Cai, Xiaohu Tang
In this paper, we address the node repair problem of Reed-Solomon (RS) coded distributed storage systems. Specifically, to overcome the challenges of multiple-node failures of RS c…
Repairing Schemes for Tamo-Barg Codes
Han Cai, Ying Miao, Moshe Schwartz +1
In this paper, the repair problem for erasures beyond locality in locally repairable codes is explored under a practical system setting, where a rack-aware storage system consists…