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 "new two stage automorphism group decoders for cyclic codes in the erasure channel"):
  Abstract: Recently, error correcting codes in the erasure channel have drawn great attention for various applications such as distributed storage systems and wireless sensor networks, but many of their decoding algorithms are not practical because they have higher decoding complexity and longer delay. Thus, the automorphism group decoder (AGD) for cyclic codes in the erasure channel was introduced, which has good erasure decoding performance with low decoding complexity. In this paper, we propose new two-stage AGDs (TS-AGDs) for cyclic codes in the erasure channel by modifying the parity check matrix and introducing the preprocessing stage to the AGD scheme. The proposed TS-AGD has been analyzed for the perfect codes, BCH codes, and maximum distance separable (MDS) codes. Through numerical analysis, it is shown that the proposed decoding algorithm has good erasure decoding performance with lower decoding complexity and delay than the conventional AGD. For some cyclic codes, it is shown that the proposed TS-AGD achieves the perfect decoding in the erasure channel, that is, the same decoding performance as the maximum likelihood (ML) decoder. For MDS codes, TS-AGDs with the expanded parity check matrix and the submatrix inversion are also proposed and analyzed.

Includes members:
  Member "stopping sets of algebraic geometry codes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "new constructions of mds symbol pair codes")
  Member "optimal exact regenerating codes for distributed storage at the msr and mbr points via a product matrix construction":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "enabling optimal access and error correction for the repair of reed solomon codes")
  Member "multiple bases belief propagation decoding of high density cyclic codes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "pruning neural belief propagation decoders")
  Member "single exclusion number and the stopping redundancy of mds codes":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "stopping sets of algebraic geometry codes")
  Member "permutation decoding and the stopping redundancy hierarchy of cyclic and extended cyclic codes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "stopping redundancy hierarchy beyond the minimum distance")
  Member "on parity check collections for iterative erasure decoding that correct all correctable erasure patterns of a given size":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "bounds on separating redundancy of linear codes and rates of x codes")
  Member "on the stopping distance and the stopping redundancy of codes":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "decoder tailored polar code design using the genetic algorithm")

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)