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 "binary locally repairable codes sequential repair for multiple erasures"):
  Abstract: Locally repairable codes (LRC) for distribute storage allow two approaches to locally repair multiple failed nodes: 1) parallel approach, by which each newcomer access a set of $r$ live nodes $(r$ is the repair locality$)$ to download data and recover the lost packet; and 2) sequential approach, by which the newcomers are properly ordered and each newcomer access a set of $r$ other nodes, which can be either a live node or a newcomer ordered before it. An $[n,k]$ linear code with locality $r$ and allows local repair for up to $t$ failed nodes by sequential approach is called an $(n,k,r,t)$-exact locally repairable code (ELRC). #R##N#In this paper, we present a family of binary codes which is equivalent to the direct product of $m$ copies of the $[r+1,r]$ single-parity-check code. We prove that such codes are $(n,k,r,t)$-ELRC with $n=(r+1)^m,k=r^m$ and $t=2^m-1$, which implies that they permit local repair for up to $2^m-1$ erasures by sequential approach. Our result shows that the sequential approach has much bigger advantage than parallel approach.

Includes members:
  Member "cooperative local repair in distributed storage":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "locally recoverable j affine variety codes")
  Member "locally repairable codes with functional repair and multiple erasure tolerance":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "erasure codes for distributed storage tight bounds and matching constructions")
  Member "repair locality with multiple erasure tolerance":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on optimal locally repairable codes and generalized sector disk codes")
  Member "locality and availability in distributed storage":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on optimal locally repairable codes and generalized sector disk codes")
  Member "codes with locality for two erasures":
    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 "bounds on locally recoverable codes with multiple recovering sets":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "new bounds on the field size for maximally recoverable codes instantiating grid like topologies")
  Member "a family of optimal locally recoverable codes":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "a locality based approach for coded computation")
  Member "optimal locally repairable linear codes":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "on optimal locally repairable codes and generalized sector disk 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)