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: "error correction capability of column weight three ldpc codes"
  Abstract: In this paper, we investigate the error correction capability of column-weight-three LDPC codes when decoded using the Gallager A algorithm. We prove that the necessary condition for a code to correct $k \geq 5$ errors is to avoid cycles of length up to $2k$ in its Tanner graph. As a consequence of this result, we show that given any $\alpha>0, \exists N $ such that $\forall n>N$, no code in the ensemble of column-weight-three codes can correct all $\alpha n$ or fewer errors. We extend these results to the bit flipping algorithm.

Connected through hyperedge HE-1 (induced by source paper "thresholds of absorbing sets in low density parity check codes"):
  with members:
    - "the cycle consistency matrix approach to absorbing sets in separable circulant based ldpc codes"
    - "error floor approximation for ldpc codes in the awgn channel"
    - "two bit bit flipping decoding of ldpc codes"
    - "on trapping sets and guaranteed error correction capability of ldpc codes and gldpc codes"
    - "instanton based techniques for analysis and reduction of error floors of ldpc codes"
    - "on the dynamics of the error floor behavior in regular ldpc codes"
    - "error correction capability of column weight three ldpc codes"

Connected through hyperedge HE-2 (induced by source paper "multilevel decoders surpassing belief propagation on the binary symmetric channel"):
  with members:
    - "two bit message passing decoders for ldpc codes over the binary symmetric channel"
    - "error correction capability of column weight three ldpc codes"
    - "ldpc codes which can correct three errors under iterative decoding"

Connected through hyperedge HE-3 (induced by source paper "on trapping sets and guaranteed error correction capability of ldpc codes and gldpc codes"):
  with members:
    - "error correction capability of column weight three ldpc codes"
    - "graph cover decoding and finite length analysis of message passing iterative decoding of ldpc codes"

Connected through hyperedge HE-4 (induced by source paper "instanton based techniques for analysis and reduction of error floors of ldpc codes"):
  with members:
    - "on trapping sets and guaranteed error correction capability of ldpc codes and gldpc codes"
    - "error correction capability of column weight three ldpc codes"
    - "probabilistic analysis of linear programming decoding"
    - "ldpc codes which can correct three errors under iterative decoding"
    - "pseudo codeword analysis of tanner graphs from projective and euclidean planes"
    - "instanton analysis of low density parity check codes in the error floor regime"
    - "graph cover decoding and finite length analysis of message passing iterative decoding of ldpc codes"
    - "pseudocodewords of tanner graphs"

Connected through hyperedge HE-5 (induced by source paper "two bit message passing decoders for ldpc codes over the binary symmetric channel"):
  with members:
    - "error correction capability of column weight three ldpc codes"
    - "low density parity check codes which can correct three errors under iterative decoding"
    - "ldpc codes which can correct three errors under iterative decoding"

Connected through hyperedge HE-6 (induced by source paper "ldpc codes which can correct three errors under iterative decoding"):
  with members:
    - "error correction capability of column weight three ldpc codes"
    - "pseudo codeword analysis of tanner graphs from projective and euclidean planes"
    - "graph cover decoding and finite length analysis of message passing iterative decoding of ldpc codes"

Connected through hyperedge HE-7 (induced by source paper "on the guaranteed error correction capability of ldpc codes"):
  with members:
    - "error correction capability of column weight three ldpc codes"
    - "graph cover decoding and finite length analysis of message passing iterative decoding of ldpc codes"

Connected through hyperedge HE-8 (induced by source paper "on the hardness of approximating stopping and trapping sets in ldpc codes"):
  with members:
    - "error correction capability of column weight three ldpc codes"
    - "instanton analysis of low density parity check codes in the error floor regime"
    - "a general method for finding low error rates of ldpc codes"
    - "exhausting error prone patterns in ldpc codes"

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)