human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "fourier reflexive partitions and macwilliams identities for additive codes"):
  Abstract: A partition of a finite abelian group gives rise to a dual partition on the character group via the Fourier transform. Properties of the dual partitions are investigated and a convenient test is given for the case that the bidual partition coincides the primal partition. Such partitions permit MacWilliams identities for the partition enumerators of additive codes. It is shown that dualization commutes with taking products and symmetrized products of partitions on cartesian powers of the given group. After translating the results to Frobenius rings, which are identified with their character module, the approach is applied to partitions that arise from poset structures.

Includes members:
  Member "macwilliams extension theorems and the local global property for codes over rings":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "an enumeration of the equivalence classes of self dual matrix codes")
  Member "partitions of frobenius rings induced by the homogeneous weight":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "partitions of matrix spaces with an application to q rook polynomials")
  Member "classification of poset block spaces admitting macwilliams type identity":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "combinatorial metrics macwilliams type identities isometries and extension property")
  Member "second order weight distributions":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "constructing linear encoders with good spectra")
  Member "on the existence of universally decodable matrices":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "universally decodable matrices for distributed matrix vector multiplication")
  Member "the partition weight enumerator of mds codes and its applications":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "mac williams identities and polarized riemann roch conditions")

Question: Please tell me which class the source paper 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)