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 "lattice index codes from algebraic number fields"):
  Abstract: Broadcasting $K$ independent messages to multiple users where each user demands all the messages and has a subset of the messages as side information is studied. Recently, Natarajan, Hong, and Viterbo proposed a novel broadcasting strategy called lattice index coding which uses lattices constructed over some principal ideal domains (PIDs) for transmission and showed that this scheme provides uniform side information gains. In this paper, we generalize this strategy to general rings of algebraic integers of number fields which may not be PIDs. Upper and lower bounds on the side information gains for the proposed scheme constructed over some interesting classes of number fields are provided and are shown to coincide asymptotically in message rates. This generalization substantially enlarges the design space and partially includes the scheme by Natarajan, Hong, and Viterbo as a special case. Perhaps more importantly, in addition to side information gains, the proposed lattice index codes benefit from diversity gains inherent in constellations carved from number fields when used over Rayleigh fading channel. Some interesting examples are also provided for which the proposed scheme allows all the messages to be from the same field.

Includes members:
  Member "capacity of coded index modulation":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "index coding with erroneous side information")
  Member "adaptive compute and forward with lattice codes over algebraic integers":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "secure modulo sum via multiple access channel")
  Member "index codes for the gaussian broadcast channel using quadrature amplitude modulation":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "index coding with erroneous side information")
  Member "lattice index coding":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "cache aided modulation for heterogeneous coded caching over a gaussian broadcast channel")
  Member "construction pi_a and pi_d lattices construction goodness and decoding algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "adaptive compute and forward with lattice codes over algebraic integers")
  Member "multistage compute and forward with multilevel lattice codes based on product constructions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "construction pi_a and pi_d lattices construction goodness and decoding algorithms")
  Member "joint network and gelfand pinsker coding for 3 receiver gaussian broadcast channels with receiver message side information":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "layered space time index coding")
  Member "the capacity of three receiver awgn broadcast channels with receiver message side information":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "lattice codes achieve the capacity of common message gaussian broadcast channels with coded side information")

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)