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: "on the performance of reed muller codes with respect to random errors and erasures"
  Abstract: This work proves new results on the ability of binary Reed-Muller codes to decode from random errors and erasures. We obtain these results by proving improved bounds on the weight distribution of Reed-Muller codes of high degrees. Specifically, given weight $\beta \in (0,1)$ we prove an upper bound on the number of codewords of relative weight at most $\beta$. We obtain new results in two different settings: for weights $\beta < 1/2$ and for weights that are close to $1/2$. #R##N#Our new bounds on the weight distribution imply that RM codes with $m$ variables and degree $\gamma m$, for some explicit constant $\gamma$, achieve capacity for random erasures (i.e. for the binary erasure channel) and for random errors (for the binary symmetric channel). Earlier, it was known that RM codes achieve capacity for the binary symmetric channel for degrees $r = o(m)$. For the binary erasure channel it was known that RM codes achieve capacity for degree $o(m)$ or $r \in [m/2 \pm O(\sqrt{m})]$. Thus, our result provide a new range of parameters for which RM achieve capacity for these two well studied channels. In addition, our results imply that for every $\epsilon > 0$ (in fact we can get up to $\epsilon = \Omega\left(\sqrt{\frac{\log m}{m}}\right)$) RM codes of degree $r<(1/2-\epsilon)m$ can correct a fraction of $1-o(1)$ random erasures with high probability. We also show that, information theoretically, such codes can handle a fraction of $1/2-o(1)$ random errors with high probability. Thus, for example, given noisy evaluations of a degree $0.499m$ polynomial, it is possible to interpolate it even if a random $0.499$ fraction of the evaluations were corrupted, with high probability. While the $o(1)$ terms are not the correct ones to ensure capacity, these results show that RM codes of such degrees are in some sense close to achieving capacity.

Connected through hyperedge HE-1 (induced by source paper "reed muller codes theory and algorithms"):
  with members:
    - "reed muller codes polarize"
    - "recursive projection aggregation decoding of reed muller codes"
    - "general strong polarization"
    - "decoding reed muller codes using minimum weight parity checks"
    - "on the bias of reed muller codes over odd prime fields"
    - "almost optimal scaling of reed muller codes on bec and bsc channels"
    - "soft decision decoding of reed muller codes recursive lists"
    - "syndrome decoding of reed muller codes and tensor decomposition over finite fields"

Connected through hyperedge HE-2 (induced by source paper "reed muller codes polarize"):
  with members:
    - "recursive projection aggregation decoding of reed muller codes"
    - "general strong polarization"
    - "decoding reed muller codes using minimum weight parity checks"
    - "almost optimal scaling of reed muller codes on bec and bsc channels"
    - "recursive decoding and its performance for low rate reed muller codes"
    - "algebraic properties of polar codes from a new polynomial formalism"
    - "high girth matrices and polarization"
    - "reed muller codes achieve capacity on erasure channels"

Connected through hyperedge HE-3 (induced by source paper "recursive projection aggregation decoding of reed muller codes"):
  with members:
    - "reed muller codes theory and algorithms"
    - "reed muller codes polarize"
    - "decoding reed muller codes using minimum weight parity checks"
    - "decoding reed muller and polar codes by successive factor graph permutations"
    - "almost optimal scaling of reed muller codes on bec and bsc channels"
    - "soft decision decoding of reed muller codes recursive lists"
    - "recursive decoding and its performance for low rate reed muller codes"
    - "fast list decoders for polar 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)