In Ref.[2] the author dealt with the Main conjecture on geometric codes andproved the correctness of the conjecture for codes arising from curves with genus 1 or2 when the cardinal of the ground field is large enough....In Ref.[2] the author dealt with the Main conjecture on geometric codes andproved the correctness of the conjecture for codes arising from curves with genus 1 or2 when the cardinal of the ground field is large enough. In this note, the conjecturefor codes from hyperelliptic curves is attacked.展开更多
This paper presents a novel method, called TSHOVER, for tolerating up to triple disk failures in RAID/DRAID architectures or others reliable storage systems. TSHOVER is two-dimensional code, which employs horizontal c...This paper presents a novel method, called TSHOVER, for tolerating up to triple disk failures in RAID/DRAID architectures or others reliable storage systems. TSHOVER is two-dimensional code, which employs horizontal code and vertical code at the same time with simple exclusive-OR (XOR) computations. This paper shows the new step ascending concepts used in encoding, and it has the capability of realizing fault tolerance. TSHOVER has better data recovery ability to those disk network storage systems with relatively more dynamic changes in the number of disks. Compared with RS and STAR code, TSHOVER has better encoding performance. When updating a data strip, only 6 XOR operations are needed. Both experimental results and theoretical analyses show that TSHOVER has better performance and higher efficiency than other algorithms.展开更多
最近,文献(GUANG X, FU F W, ZHANG Z. IEEE Trans Inf Theory,2016,62(6):3147-3164.)给出网络MDS码信息空间与达到最小距离的错误空间的交空间的维数刻化.基于线性代数,进一步推广这一结果到一般网络纠错码,并且在给定错误模式情况下...最近,文献(GUANG X, FU F W, ZHANG Z. IEEE Trans Inf Theory,2016,62(6):3147-3164.)给出网络MDS码信息空间与达到最小距离的错误空间的交空间的维数刻化.基于线性代数,进一步推广这一结果到一般网络纠错码,并且在给定错误模式情况下,给出网络MDS码信息空间与该错误模式所生成的错误空间的交空间维数的界.展开更多
基金supported by the National Key Research and Development Program of China(2022YFA1004900)the USTC Research Funds of the Double First-Class Initiative(YD0010002004)the Fundamental Research Funds for the Central Universities(WK3470000020,WK0010000068).
文摘In Ref.[2] the author dealt with the Main conjecture on geometric codes andproved the correctness of the conjecture for codes arising from curves with genus 1 or2 when the cardinal of the ground field is large enough. In this note, the conjecturefor codes from hyperelliptic curves is attacked.
基金the National Natural Science Foundation of China (No. 60403043)
文摘This paper presents a novel method, called TSHOVER, for tolerating up to triple disk failures in RAID/DRAID architectures or others reliable storage systems. TSHOVER is two-dimensional code, which employs horizontal code and vertical code at the same time with simple exclusive-OR (XOR) computations. This paper shows the new step ascending concepts used in encoding, and it has the capability of realizing fault tolerance. TSHOVER has better data recovery ability to those disk network storage systems with relatively more dynamic changes in the number of disks. Compared with RS and STAR code, TSHOVER has better encoding performance. When updating a data strip, only 6 XOR operations are needed. Both experimental results and theoretical analyses show that TSHOVER has better performance and higher efficiency than other algorithms.
文摘最近,文献(GUANG X, FU F W, ZHANG Z. IEEE Trans Inf Theory,2016,62(6):3147-3164.)给出网络MDS码信息空间与达到最小距离的错误空间的交空间的维数刻化.基于线性代数,进一步推广这一结果到一般网络纠错码,并且在给定错误模式情况下,给出网络MDS码信息空间与该错误模式所生成的错误空间的交空间维数的界.
