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 "repairable fountain codes"):
  Abstract: We introduce a new family of Fountain codes that are systematic and also have sparse parities. Given an input of $k$ symbols, our codes produce an unbounded number of output symbols, generating each parity independently by linearly combining a logarithmic number of randomly selected input symbols. The construction guarantees that for any $\epsilon>0$ accessing a random subset of $(1+\epsilon)k$ encoded symbols, asymptotically suffices to recover the $k$ input symbols with high probability. #R##N#Our codes have the additional benefit of logarithmic locality: a single lost symbol can be repaired by accessing a subset of $O(\log k)$ of the remaining encoded symbols. This is a desired property for distributed storage systems where symbols are spread over a network of storage nodes. Beyond recovery upon loss, local reconstruction provides an efficient alternative for reading symbols that cannot be accessed directly. In our code, a logarithmic number of disjoint local groups is associated with each systematic symbol, allowing multiple parallel reads. #R##N#Our main mathematical contribution involves analyzing the rank of sparse random matrices with specific structure over finite fields. We rely on establishing that a new family of sparse random bipartite graphs have perfect matchings with high probability.

Includes members:
  Member "xoring elephants novel erasure codes for big data":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on optimal locally repairable codes and generalized sector disk codes")
  Member "simple regenerating codes network coding for cloud storage":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "new bounds on the field size for maximally recoverable codes instantiating grid like topologies")
  Member "on the locality of codeword symbols":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a locality based approach for coded computation")
  Member "self repairing homomorphic codes for distributed storage systems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "new bounds on the field size for maximally recoverable codes instantiating grid like topologies")
  Member "network coding for distributed storage systems":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "new bounds on the field size for maximally recoverable codes instantiating grid like topologies")
  Member "decentralized erasure codes for distributed networked storage":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "improving the secrecy of distributed storage systems using interference alignment")

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)