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: "linear network coding over rings part ii vector codes and non commutative alphabets"
  Abstract: In Part I, we studied linear network coding over finite commutative rings and made comparisons to the well-studied case of linear network coding over finite fields. Here, we consider the more general setting of linear network coding over finite (possibly non-commutative) rings and modules. We prove the following results regarding the linear solvability of directed acyclic networks over various finite alphabets. For any network, the following are equivalent: (i) vector linear solvability over some field, (ii) scalar linear solvability over some ring, and (iii) linear solvability over some module. Analogously, the following are equivalent: (a) scalar linear solvability over some field, (b) scalar linear solvability over some commutative ring, and (c) linear solvability over some module whose ring is commutative. Whenever any network is linearly solvable over a module, a smallest such module arises in a vector linear solution for that network over a field. If a network is scalar linearly solvable over some non-commutative ring but not over any commutative ring, then such a non-commutative ring must have size at least 16, and for some networks, this bound is achieved. An infinite family of networks is demonstrated, each of which is scalar linearly solvable over some non-commutative ring but not over any commutative ring. Whenever    $p$    is prime and    $1 \le k \le 6$   , if a network is scalar linearly solvable over some ring of size    $p^{k}$   , then it is also    $k$   -dimensional vector linearly solvable over the field    $ \mathrm {GF}(p)$   , but the converse does not necessarily hold. This result is extended to all    $k\ge 1$    when the ring is commutative.

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 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 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"
    - "a class of non linearly solvable networks"
    - "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"

Connected through hyperedge HE-3 (induced by source paper "circular shift linear network coding"):
  with members:
    - "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"

Connected through hyperedge HE-4 (induced by source paper "capacity achieving private information retrieval codes with optimal message size and upload cost"):
  with members:
    - "an mds pir capacity achieving protocol for distributed storage using non mds linear codes"
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "asymmetry hurts private information retrieval under asymmetric traffic constraints"
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "the capacity of cache aided private information retrieval"
    - "on the placement delivery array design for centralized coded caching scheme"
    - "the capacity of private information retrieval from byzantine and colluding databases"

Connected through hyperedge HE-5 (induced by source paper "linear network coding over rings part i scalar codes and commutative alphabets"):
  with members:
    - "a class of non linearly solvable networks"
    - "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"
    - "an equivalence between network coding and index coding"

Connected through hyperedge HE-6 (induced by source paper "capacity and achievable rate regions for linear network coding over ring alphabets"):
  with members:
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "a class of non linearly solvable networks"
    - "on vector linear solvability of multicast networks"
    - "on achievability of an r l fractional linear network code"
    - "the two unicast problem"
    - "characteristic dependent linear rank inequalities with applications to network coding"
    - "achievable rate regions for network coding"
    - "on the multiple unicast capacity of 3 source 3 terminal directed acyclic networks"

Connected through hyperedge HE-7 (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 i scalar codes and commutative alphabets"
    - "on the message dimensions of vector linearly solvable networks"
    - "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)