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 i scalar codes and commutative alphabets"
  Abstract: Linear network coding over finite fields is a well-studied problem. We consider the more general setting of linear coding for directed acyclic networks with finite commutative ring alphabets. Our results imply that for scalar linear network coding over commutative rings, fields can always be used when the alphabet size is flexible, but other rings may be needed when the alphabet size is fixed. We prove that if a network has a scalar linear solution over some finite commutative ring, then the (unique) smallest such commutative ring is a field. We also show that fixed-size commutative rings are quasi-ordered, such that all the scalar linearly solvable networks over any given ring are also scalar linearly solvable over any higher-ordered ring. We study commutative rings that are maximal with respect to this quasi-order, as they may be considered the best commutative rings of a given size. We prove that a commutative ring is maximal if and only if some network is scalar linearly solvable over the ring, but not over any other commutative ring of the same size. Furthermore, we show that maximal commutative rings are direct products of certain fields specified by the integer partitions of the prime factor multiplicities of the ring’s size. Finally, we prove that there is a unique maximal commutative ring of size    $m$    if and only if each prime factor of    $m$    has multiplicity in {1, 2, 3, 4, 6}. As consequences, 1) every finite field is such a maximal ring and 2) for each prime    $p$   , some network is scalar linearly solvable over a commutative ring of size    $p^{k}$    but not over the field of the same size if and only if    $k \not \in \{1,2,3,4,6\}$   .

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"
    - "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 "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"
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "asymmetry hurts private information retrieval under asymmetric traffic constraints"
    - "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-3 (induced by source paper "linear network coding over rings part ii vector codes and non commutative alphabets"):
  with members:
    - "on the message dimensions of vector linearly solvable networks"
    - "on vector linear solvability of multicast networks"

Connected through hyperedge HE-4 (induced by source paper "capacity and achievable rate regions for linear network coding over ring 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"
    - "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-5 (induced by source paper "on the dependence of linear coding rates on the characteristic of the finite field"):
  with members:
    - "capacity and achievable rate regions for linear network coding over ring alphabets"
    - "multicast network coding and field sizes"
    - "characteristic dependent linear rank inequalities with applications to network coding"
    - "achievable rate regions for network coding"
    - "on network coding for sum networks"

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"
    - "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)