human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "lp decodable permutation codes based on linearly constrained permutation matrices"
  Abstract: A set of linearly constrained permutation matrices are proposed for constructing a class of permutation codes. Making use of linear constraints imposed on the permutation matrices, we can formulate a minimum Euclidian distance decoding problem for the proposed class of permutation codes as a linear programming (LP) problem. The main feature of this class of permutation codes, called LP decodable permutation codes, is this LP decodability. It is demonstrated that the LP decoding performance of the proposed class of permutation codes is characterized by the vertices of the code polytope of the code. Two types of linear constraints are discussed; one is structured constraints and another is random constraints. The structured constraints such as pure involution lead to an efficient encoding algorithm. On the other hand, the random constraints enable us to use probabilistic methods for analyzing several code properties such as the average cardinality and the average weight distribution.

Connected through hyperedge HE-1 (induced by source paper "ulam sphere size analysis for permutation and multipermutation codes correcting translocation errors"):
  with members:
    - "multipermutation ulam sphere analysis toward characterizing maximal code size"
    - "new bounds for permutation codes in ulam metric"
    - "linear programming upper bounds on permutation code sizes from coherent configurations related to the kendall tau distance metric"
    - "error correction in flash memories via codes in the ulam metric"
    - "coded modulation for power line communications"
    - "codes in permutations and error correction for rank modulation"

Connected through hyperedge HE-2 (induced by source paper "new bounds for permutation codes in ulam metric"):
  with members:
    - "linear programming upper bounds on permutation code sizes from coherent configurations related to the kendall tau distance metric"
    - "error correction in flash memories via codes in the ulam metric"
    - "constructions of rank modulation codes"
    - "codes in permutations and error correction for rank modulation"

Connected through hyperedge HE-3 (induced by source paper "lp decodable multipermutation codes"):
  with members:
    - "the admm penalized decoder for ldpc codes"
    - "admm lp decoding of non binary ldpc codes in mathbb f _ 2 m"
    - "multipermutation codes in the ulam metric for nonvolatile memories"
    - "systematic error correcting codes for rank modulation"
    - "error correction in flash memories via codes in the ulam metric"
    - "decomposition methods for large scale lp decoding"
    - "coded modulation for power line communications"
    - "snake in the box codes for rank modulation"

Connected through hyperedge HE-4 (induced by source paper "error correction in flash memories via codes in the ulam metric"):
  with members:
    - "constructions of rank modulation codes"
    - "codes in permutations and error correction for rank modulation"
    - "correcting limited magnitude errors in the rank modulation scheme"
    - "distance preserving mappings from ternary vectors to permutations"

Question: Please tell me which class the center node 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)