10 papers
Duality and Reverse Self-Dual Constructions for Hyperderivative Reed-Solomon Codes
Hongchang Li, Zhihao Zhu, Weijun Fang +2
Hyperderivative Reed-Solomon (HRS) codes form a class of maximum-distance-separable codes under the Niederreiter-Rosenbloom-Tsfasman metric and may be viewed as a derivative-evalua…
3-Designs from -Invariant Subspaces of
Lewen Wang, Huawei Wu, Sihuang Hu
We present a uniform framework for constructing -designs from -invariant subspaces of , the space of homogeneous polynomials of d…
Divisibility of Trace Codes
Hexiang Huang, Haihua Deng, Sihuang Hu
A linear code is said to be -divisible if the Hamming weights of all its codewords are divisible by . The -adic valuation of a code is defined as the greatest integer $t…
Lower Bounds on Conversion Bandwidth for MDS Convertible Codes in Split Regime
Lewen Wang, Sihuang Hu
We propose several new lower bounds on the bandwidth costs of MDS convertible codes using a linear-algebraic framework. The derived bounds improve previous results in certain param…
Optimal Repair of MDS Array Codes
Zihao Zhang, Guodong Li, Sihuang Hu
Maximum distance separable (MDS) codes are widely used in distributed storage systems as they provide optimal fault tolerance for a given amount of storage overhead. The seminal wo…
Making Wide Stripes Practical: Cascaded Parity LRCs for Efficient Repair and High Reliability
Fan Yu, Guodong Li, Si Wu +2
Erasure coding with wide stripes is increasingly adopted to reduce storage overhead in large-scale storage systems. However, existing Locally Repairable Codes (LRCs) exhibit struct…