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: "partitions of frobenius rings induced by the homogeneous weight"
  Abstract: The values of the homogeneous weight are determined for finite Frobenius rings that are a direct product of local Frobenius rings. This is used to investigate the partition induced by this weight and its dual partition under character-theoretic dualization. A characterization is given of those rings for which the induced partition is reflexive or even self-dual.

Connected through hyperedge HE-1 (induced by source paper "partitions of matrix spaces with an application to q rook polynomials"):
  with members:
    - "a polymatroid approach to generalized weights of rank metric codes"
    - "rank metric codes and q polymatroids"
    - "maximal ferrers diagram codes constructions and genericity considerations"
    - "codes endowed with the rank metric"
    - "adversarial network coding"
    - "relative generalized matrix weights of matrix codes for universal security on wire tap networks"
    - "algebraic structures of mrd codes"
    - "duality of codes supported on regular lattices with an application to enumerative combinatorics"

Connected through hyperedge HE-2 (induced by source paper "extension theorems for various weight functions over frobenius bimodules"):
  with members:
    - "fourier reflexive partitions and macwilliams identities for additive codes"

Connected through hyperedge HE-3 (induced by source paper "lexicodes over finite principal left ideal rings"):
  with members:
    - "lexicodes over rings"

Connected through hyperedge HE-4 (induced by source paper "duality of codes supported on regular lattices with an application to enumerative combinatorics"):
  with members:
    - "rank metric codes and their duality theory"
    - "fourier reflexive partitions and macwilliams identities for additive codes"
    - "on metrics for error correction in network coding"

Connected through hyperedge HE-5 (induced by source paper "the homogeneous weight partition and its character theoretic dual"):
  with members:
    - "fourier reflexive partitions and macwilliams identities for additive codes"
    - "macwilliams extension theorems and the local global property for codes over rings"
    - "good random matrices over finite fields"

Connected through hyperedge HE-6 (induced by source paper "fourier reflexive partitions and macwilliams identities for additive codes"):
  with members:
    - "macwilliams extension theorems and the local global property for codes over rings"
    - "classification of poset block spaces admitting macwilliams type identity"
    - "second order weight distributions"
    - "on the existence of universally decodable matrices"
    - "the partition weight enumerator of mds codes and its applications"

Connected through hyperedge HE-7 (induced by source paper "macwilliams extension theorems and the local global property for codes over rings"):
  with members:
    - "linear codes on posets with extension property"
    - "the homogeneous weight partition and its character theoretic dual"
    - "fourier reflexive partitions and macwilliams identities for additive codes"
    - "equivalence for rank metric and matrix codes and automorphism groups of gabidulin codes"

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)