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: "product constructions for perfect lee codes"
  Abstract: A well-known conjecture of Golomb and Welch is that the only nontrivial perfect codes in the Lee and Manhattan metrics have length two or minimum distance three. This problem and related topics were subject for extensive research in the last 40 years. In this paper, two product constructions for perfect Lee codes and diameter perfect Lee codes are presented. These constructions yield a large number of nonlinear perfect codes and nonlinear diameter perfect codes in the Lee and Manhattan metrics. A short survey and other related problems on perfect codes in the Lee and Manhattan metrics are also discussed.

Connected through hyperedge HE-1 (induced by source paper "50 years of the golomb welch conjecture"):
  with members:
    - "quasi perfect lee codes of radius 2 and arbitrarily large dimension"
    - "an algebraic geometric approach to nivat s conjecture"
    - "a new approach towards the golomb welch conjecture"
    - "a generalization of lee codes"
    - "diameter perfect lee codes"
    - "quasi cross lattice tilings with applications to flash memory"
    - "error correction of multidimensional bursts"

Connected through hyperedge HE-2 (induced by source paper "cooling codes thermal management coding for high performance interconnects"):
  with members:
    - "channels that heat up"
    - "optimal memoryless encoding for low power off chip data buses"

Connected through hyperedge HE-3 (induced by source paper "quasi perfect lee codes of radius 2 and arbitrarily large dimension"):
  with members:
    - "a new approach towards the golomb welch conjecture"
    - "coding for the lee and manhattan metrics with weighing matrices"
    - "a generalization of lee codes"
    - "diameter perfect lee codes"

Connected through hyperedge HE-4 (induced by source paper "perfect codes in the discrete simplex"):
  with members:
    - "multiset codes for permutation channels"
    - "subset codes for packet networks"
    - "a matroid framework for noncoherent random network communications"
    - "coding for errors and erasures in random network coding"

Connected through hyperedge HE-5 (induced by source paper "a new approach towards the golomb welch conjecture"):
  with members:
    - "a generalization of lee codes"
    - "diameter perfect lee codes"

Connected through hyperedge HE-6 (induced by source paper "on the linear programming bound for lee codes"):
  with members:
    - "a generalization of lee codes"
    - "dense error correcting codes in the lee metric"

Connected through hyperedge HE-7 (induced by source paper "cross error correcting integer codes over mathbb z _ 2 m"):
  with members:
    - "dense error correcting codes in the lee metric"

Connected through hyperedge HE-8 (induced by source paper "optimal permutation codes and the kendall s τ metric"):
  with members:
    - "an upper bound on the number of circular transpositions to sort a permutation"

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)