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 base field of linear network coding"
  Abstract: For a (single-source) multicast network, the size of a base field is the most known and studied algebraic identity that is involved in characterizing its linear solvability over the base field. In this paper, we design a new class    $\mathcal {N}$    of multicast networks and obtain an explicit formula for the linear solvability of these networks, which involves the associated coset numbers of a multiplicative subgroup in a base field. The concise formula turns out to be the first that matches the topological structure of a multicast network and algebraic identities of a field other than size. It further facilitates us to unveil  infinitely many  new multicast networks linearly solvable over GF(   $q$   ) but not over GF(   $q'$   ) with    $q   , based on a subgroup order criterion. In particular: 1) for every    $k\geq 2$   , an instance in    $\mathcal {N}$    can be found linearly solvable over GF(   $2^{2k}$   ) but  not  over GF(   $2^{2k+1}$   ) and 2) for arbitrary distinct primes    $p$    and    $p'$   , there are infinitely many    $k$    and    $k'$    such that an instance in    $\mathcal {N}$    can be found linearly solvable over GF(   $p^{k}$   ) but  not  over GF(   $p'^{k'}$   ) with    $p^{k}   .

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 the message dimensions of vector linearly solvable networks"
    - "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 "linear network coding over rings part i scalar codes and commutative alphabets"):
  with members:
    - "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"
    - "multicast network coding and field sizes"
    - "an equivalence between network coding and index coding"

Connected through hyperedge HE-3 (induced by source paper "multicast networks solvable over every finite field"):
  with members:
    - "a class of non linearly solvable networks"
    - "multicast network coding and field sizes"
    - "scalar linear solvability of matroidal networks associated with representable matroids"

Connected through hyperedge HE-4 (induced by source paper "on vector linear solvability of multicast networks"):
  with members:
    - "multicast network coding and field sizes"
    - "network error correcting codes using small fields"
    - "on the index coding problem and its relation to network coding and matroid theory"

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)