KMS Of Academy of mathematics and systems sciences, CAS
| Scalar MSCR Codes via the Product Matrix Construction | |
| Zhang, Yaqian1,2; Zhang, Zhifang1,2 | |
| 2020-02-01 | |
| Source Publication | IEEE TRANSACTIONS ON INFORMATION THEORY
 |
| ISSN | 0018-9448 |
| Volume | 66Issue:2Pages:995-1006 |
| Abstract | An (n, k, d) cooperative regenerating code provides the optimal-bandwidth repair for any t (t > 1) node failures in a cooperative way. In particular, an MSCR (minimum storage cooperative regenerating) code retains the same storage overhead as an (n, k) MDS code. Suppose each node stores alpha symbols which indicates the sub-packetization level of the code. A scalar MSCR code attains the minimum sub-packetization, i.e., alpha = d - k + t. By now, all existing constructions of scalar MSCR codes restrict to very special parameters, eg. d = k or k = 2, etc. In a recent work, Ye and Barg construct MSCR codes for all n, k, d, t, however, their construction needs alpha approximate to exp(nt) which is almost infeasible in practice. In this paper, we give an explicit construction of scalar MSCR codes for all d >= max{2k- 1- t, k}, which covers all possible parameters except the case of k <= d <= 2k - 2 - t when k < 2k - 1 - t. Moreover, as a complementary result, for k < d < 2k - 2 - t we prove the nonexistence of linear scalar MSCR codes that have invariant repair spaces. Our construction and most of the previous scalar MSCR codes all have invariant repair spaces and this property is appealing in practice because of convenient repair. In this sense, this work presents an almost full description of usual scalar MSCR codes. |
| Keyword | Maintenance engineering Bandwidth Symmetric matrices Encoding Indexes Measurement Regenerating code cooperative repair product matrix |
| DOI | 10.1109/TIT.2019.2934114 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[61872353] |
| WOS Research Area | Computer Science ; Engineering |
| WOS Subject | Computer Science, Information Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000510646900019 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50802 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhang, Yaqian |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Zhang, Yaqian,Zhang, Zhifang. Scalar MSCR Codes via the Product Matrix Construction[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2020,66(2):995-1006. |
| APA | Zhang, Yaqian,&Zhang, Zhifang.(2020).Scalar MSCR Codes via the Product Matrix Construction.IEEE TRANSACTIONS ON INFORMATION THEORY,66(2),995-1006. |
| MLA | Zhang, Yaqian,et al."Scalar MSCR Codes via the Product Matrix Construction".IEEE TRANSACTIONS ON INFORMATION THEORY 66.2(2020):995-1006. |
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