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 deciding deep holes of reed solomon codes"
  Abstract: For generalized Reed-Solomon codes, it has been proved \cite{GuruswamiVa05} that the problem of determining if a received word is a deep hole is co-NP-complete. The reduction relies on the fact that the evaluation set of the code can be exponential in the length of the code -- a property that practical codes do not usually possess. In this paper, we first presented a much simpler proof of the same result. We then consider the problem for standard Reed-Solomon codes, i.e. the evaluation set consists of all the nonzero elements in the field. We reduce the problem of identifying deep holes to deciding whether an absolutely irreducible hypersurface over a finite field contains a rational point whose coordinates are pairwise distinct and nonzero. By applying Schmidt and Cafure-Matera estimation of rational points on algebraic varieties, we prove that the received vector $(f(\alpha))_{\alpha \in \F_q}$ for Reed-Solomon $[q,k]_q$, $k < q^{1/7 - \epsilon}$, cannot be a deep hole, whenever $f(x)$ is a polynomial of degree $k+d$ for $1\leq d < q^{3/13 -\epsilon}$.

Connected through hyperedge HE-1 (induced by source paper "on deep holes of gabidulin codes"):
  with members:
    - "explicit deep holes of reed solomon codes"
    - "on deep holes of projective reed solomon codes"
    - "gabidulin decoding via minimal bases of linearized polynomial modules"
    - "a rank metric approach to error control in random network coding"
    - "coding for errors and erasures in random network coding"
    - "packing and covering properties of rank metric codes"
    - "properties of codes in rank metric"
    - "properties of codes with the rank metric"

Connected through hyperedge HE-2 (induced by source paper "explicit deep holes of reed solomon codes"):
  with members:
    - "deep holes and mds extensions of reed solomon codes"
    - "on deep holes of projective reed solomon codes"

Connected through hyperedge HE-3 (induced by source paper "on deep holes of projective reed solomon codes"):
  with members:
    - "counting generalized reed solomon codes"
    - "deep holes and mds extensions of reed solomon codes"
    - "on the minimum distance of elliptic curve codes"

Connected through hyperedge HE-4 (induced by source paper "deep holes and mds extensions of reed solomon codes"):
  with members:
    - "counting generalized reed solomon codes"
    - "maximum likelihood decoding of reed solomon codes is np hard"

Connected through hyperedge HE-5 (induced by source paper "on determining deep holes of generalized reed solomon codes"):
  with members:
    - "maximum likelihood decoding of reed solomon codes is np hard"

Connected through hyperedge HE-6 (induced by source paper "complexity of decoding positive rate reed solomon codes"):
  with members:
    - "maximum likelihood decoding of reed solomon codes is np hard"

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)