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 "permutation decoding and the stopping redundancy hierarchy of cyclic and extended cyclic codes"):
  Abstract: We introduce the notion of the stopping redundancy hierarchy of a linear block code as a measure of the tradeoff between performance and complexity of iterative decoding for the binary erasure channel. We derive lower and upper bounds for the stopping redundancy hierarchy via Lovasz's local lemma (LLL) and Bonferroni-type inequalities, and specialize them for codes with cyclic parity-check matrices. Based on the observed properties of parity-check matrices with good stopping redundancy characteristics, we develop a novel decoding technique, termed automorphism group decoding, that combines iterative message passing and permutation decoding. We also present bounds on the smallest number of permutations of an automorphism group decoder needed to correct any set of erasures up to a prescribed size. Simulation results demonstrate that for a large number of algebraic codes, the performance of the new decoding method is close to that of maximum-likelihood (ML) decoding.

Includes members:
  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-1 (induced by source paper "bounds on separating redundancy of linear codes and rates of x codes")
  Member "on the hardness of approximating stopping and trapping sets in ldpc codes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "design of finite length irregular protograph codes with low error floors over the binary input awgn channel using cyclic liftings")
  Member "average stopping set weight distribution of redundant random matrix ensembles":
    also connected through other hyperedges:
      (none)
  Member "complete enumeration of stopping sets of full rank parity check matrices of hamming codes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "fountain uncorrectable sets and finite length analysis")
  Member "on the stopping distance and the stopping redundancy of codes":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "decoder tailored polar code design using the genetic algorithm")
  Member "improved upper bounds on stopping redundancy":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "bounds on separating redundancy of linear codes and rates of x 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)