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 message dimensions of vector linearly solvable networks"
  Abstract: It is known that there exists a network which does not have a scalar linear solution over any finite field but has a vector linear solution when message dimension is $2$ [3]. It is not known whether this result can be generalized for an arbitrary message dimension. In this paper, we show that there exists a network which admits an $m$ dimensional vector linear solution, where $m$ is a positive integer greater than or equal to $2$, but does not have a vector linear solution over any finite field when the message dimension is less than $m$.

Connected through hyperedge HE-1 (induced by source paper "linear network coding effects of varying the message dimension on the set of characteristics"):
  with members:
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "capacity and achievable rate regions for linear network coding over ring alphabets"
    - "on base field of linear network coding"
    - "on vector linear solvability of multicast networks"
    - "vector network coding based on subspace codes outperforms scalar linear network coding"
    - "multicast network coding and field sizes"
    - "linear network coding linear index coding and representable discrete polymatroids"

Connected through hyperedge HE-2 (induced by source paper "circular shift linear network codes with arbitrary odd block lengths"):
  with members:
    - "circular shift linear network coding"
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "a class of non linearly solvable networks"
    - "on vector linear solvability of multicast networks"
    - "vector network coding based on subspace codes outperforms scalar linear network coding"

Connected through hyperedge HE-3 (induced by source paper "linear network coding over rings part ii vector codes and non commutative alphabets"):
  with members:
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "on vector linear solvability of multicast networks"

Connected through hyperedge HE-4 (induced by source paper "a class of non linearly solvable networks"):
  with members:
    - "on vector linear solvability of multicast networks"
    - "vector network coding based on subspace codes outperforms scalar linear network coding"
    - "multicast network coding and field sizes"
    - "linear network coding linear index coding and representable discrete polymatroids"
    - "on network coding for sum networks"
    - "lexicographic products and the power of non linear network coding"
    - "path gain algebraic formulation for the scalar linear network coding problem"
    - "a simple necessary and sufficient condition for the double unicast problem"

Connected through hyperedge HE-5 (induced by source paper "on achievability of an r l fractional linear network code"):
  with members:
    - "on vector linear solvability of multicast networks"
    - "linear network coding linear index coding and representable discrete polymatroids"
    - "scalar linear solvability of matroidal networks associated with representable matroids"

Connected through hyperedge HE-6 (induced by source paper "vector network coding based on subspace codes outperforms scalar linear network coding"):
  with members:
    - "grassmannian codes with new distance measures for network coding"
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "on vector linear solvability of multicast networks"
    - "multicast network coding and field sizes"
    - "efficient erasure decoding of reed solomon codes"
    - "error correcting codes in projective spaces via rank metric codes and ferrers diagrams"
    - "a rank metric approach to error control in random network coding"

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)