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 "erasure codes for distributed storage tight bounds and matching constructions"):
  Abstract: This thesis makes several significant contributions to the theory of both Regenerating (RG) and Locally Recoverable (LR) codes. The two principal contributions are characterizing the optimal rate of an LR code designed to recover from $t$ erased symbols sequentially, for any $t$ and the development of a tight bound on the sub-packetization level (length of a vector code symbol) of a sub-class of RG codes called optimal-access RG codes. There are however, several other notable contributions as well such as deriving the tightest-known bounds on the performance metrics such as minimum distance and rate of a sub-class of LR codes known as availability codes. The thesis also presents some low field size constructions of Maximal Recoverable codes.

Includes members:
  Member "explicit msr codes with optimal access optimal sub packetization and small field size for d k 1 k 2 k 3":
    also connected through other hyperedges:
      (none)
  Member "a tight rate bound and a matching construction for locally recoverable codes with sequential recovery from any number of multiple erasures":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a rate optimal construction of codes with sequential recovery with low block length")
  Member "optimal lrc codes for all lenghts n q":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "extended integrated interleaved codes over any field with applications to locally recoverable codes")
  Member "optimal locally repairable codes of distance 3 and 4 via cyclic codes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "constructive asymptotic bounds of locally repairable codes via function fields")
  Member "on optimal ternary locally repairable codes":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on the weight hierarchy of locally repairable codes")
  Member "liquid cloud storage":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "repair rate lower bounds for distributed storage")
  Member "rate optimal binary linear locally repairable codes with small availability":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "analyzing the download time of availability codes")
  Member "bounds and constructions of codes with all symbol locality and availability":
    also connected through other hyperedges:
      (none)

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)