human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "a new design of binary mds array codes with asymptotically weak optimal repair"):
  Abstract: Binary maximum distance separable (MDS) array codes are a special class of erasure codes for distributed storage that not only provide fault tolerance with minimum storage redundancy but also achieve low computational complexity. They are constructed by encoding $k$ information columns into $r$ parity columns, in which each element in a column is a bit, such that any $k$ out of the $k+r$ columns suffice to recover all information bits. In addition to providing fault tolerance, it is critical to improve repair performance in practical applications. If one column of an MDS code is failed, it is known that we need to download at least $1/(d-k+1)$ fraction of the data stored in each of $d$ healthy columns. If this lower bound is achieved for the repair of the failure column from accessing arbitrary $d$ healthy columns, we say that the MDS code has optimal repair. However, if such lower bound is only achieved by $d$ specific healthy columns, then we say the MDS code has weak-optimal repair. Existing binary MDS array codes that achieve high data rate (i.e., $k/(k+r)>1/2$) and optimal repair of information column only support double fault tolerance (i.e., $r=2$), which is insufficient for failure-prone distributed storage environments in practice. This paper fills the void by proposing two explicit constructions of binary MDS array codes with more parity columns (i.e., $r\geq 3$) that achieve asymptotically weak-optimal repair, where $k+1\leq d\leq k+\lfloor(r-1)/2\rfloor$. Codes in the first construction have odd number of parity columns and asymptotically weak-optimal repair for any one information failure, while codes in the second construction have even number of parity columns and asymptotically weak-optimal repair for any one column failure.

Includes members:
  Member "minimum storage regenerating codes for all parameters":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "an explicit coupled layer construction of a high rate msr code with low sub packetization level small field size and all node repair":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "explicit constructions of high rate mds array codes with optimal repair bandwidth":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "explicit constructions of optimal access mds codes with nearly optimal sub packetization":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "a framework of constructions of minimal storage regenerating codes with the optimal access update property":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a systematic construction of mds codes with small sub packetization level and near optimal repair bandwidth")
  Member "mdr codes a new class of raid 6 codes with optimal rebuilding and encoding":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a generic transformation to enable optimal repair in mds codes for distributed storage systems")
  Member "repair optimal mds array codes over gf 2":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "multi layer transformed mds codes with optimal repair access and low sub packetization")
  Member "zigzag codes mds array codes with optimal rebuilding":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "enabling optimal access and error correction for the repair of reed solomon codes")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.IT(Information Theory)