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 "construction of optimal locally repairable codes via automorphism groups of rational function fields"):
  Abstract: Locally repairable codes, or locally recoverable codes (LRC for short) are designed for application in distributed and cloud storage systems. Similar to classical block codes, there is an important bound called the Singleton-type bound for locally repairable codes. In this paper, an optimal locally repairable code refers to a block code achieving this Singleton-type bound. Like classical MDS codes, optimal locally repairable codes carry some very nice combinatorial structures. Since introduction of the Singleton-type bound for locally repairable codes, people have put tremendous effort on constructions of optimal locally repairable codes. Due to hardness of this problem, there are few constructions of optimal locally repairable codes in literature. Most of these constructions are realized via either combinatorial or algebraic structures. #R##N#In this paper, we employ automorphism groups of rational function fields to construct optimal locally repairable codes by considering the group action on the projective lines over finite fields. It turns out that we are able to construct optimal locally repairable codes with reflexibility of locality as well as smaller alphabet size comparable to the code length. In particular, we produce new families of $q$-ary locally repairable codes, including codes of length $q+1$ via cyclic groups and codes via dihedral groups.

Includes members:
  Member "locally recoverable codes from algebraic curves and surfaces":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "convertible codes efficient conversion of coded data in distributed storage")
  Member "locally recoverable codes on algebraic curves":
    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 "a family of optimal locally recoverable codes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a locality based approach for coded computation")
  Member "on the locality of codeword symbols in non linear codes":
    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 "optimal locally repairable codes via rank metric codes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on error decoding of locally repairable and partial mds codes")
  Member "an upper bound on the size of locally recoverable codes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the complete hierarchical locality of the punctured simplex code")
  Member "optimal locally repairable codes and connections to matroid theory":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "on optimal locally repairable codes and generalized sector disk codes")
  Member "optimal linear codes with a local error correction property":
    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)