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: "an extremal 72 36 16 binary code has no automorphism group containing z2xz4 q_8 or z_ 10"
  Abstract: Let $C$ be an extremal self-dual binary code of length 72 and $g\in \Aut(C) $ be an automorphism of order 2. We show that $C$ is a free $\F_2 $ module and use this to exclude certain subgroups of order 8 of $\Aut (C)$. We also show that $\Aut(C)$ does not contain an element of order 10.

Connected through hyperedge HE-1 (induced by source paper "on the automorphism groups of binary linear codes"):
  with members:
    - "the automorphism group of a self dual 72 36 16 code is not an elementary abelian group of order 8"
    - "the automorphism group of a self dual 72 36 16 binary code does not contain elements of order 6"

Connected through hyperedge HE-2 (induced by source paper "the automorphism group of a self dual 72 36 16 code is not an elementary abelian group of order 8"):
  with members:
    - "the automorphism group of a self dual 72 36 16 code does not contain s_3 a_4 or d_8"
    - "the automorphism group of a self dual 72 36 16 binary code does not contain elements of order 6"

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)