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: "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.

Connected through hyperedge HE-1 (induced by source paper "lattice coding for downlink multiuser transmission"):
  with members:
    - "downlink non orthogonal multiple access without sic for block fading channels an algebraic rotation approach"
    - "joint pilot and payload power control for uplink mimo noma with mrc sic receivers"
    - "short packet downlink transmission with non orthogonal multiple access"
    - "a multi beam noma framework for hybrid mmwave systems"
    - "optimal resource allocation for power efficient mc noma with imperfect channel state information"
    - "improved decoding and error floor analysis of staircase codes"
    - "performance analysis of a hybrid downlink uplink cooperative noma scheme"
    - "on non orthogonal multiple access with finite alphabet inputs in z channels"

Connected through hyperedge HE-2 (induced by source paper "optimal space time block code designs based on irreducible polynomials of degree two"):
  with members:
    - "lattice reduction over imaginary quadratic fields"

Connected through hyperedge HE-3 (induced by source paper "layered space time index coding"):
  with members:
    - "golden coded index coding"
    - "index codes for the gaussian broadcast channel using quadrature amplitude modulation"
    - "lattice index coding"
    - "index coded psk modulation"
    - "optimal coding schemes for the three receiver awgn broadcast channel with receiver message side information"
    - "joint network and gelfand pinsker coding for 3 receiver gaussian broadcast channels with receiver message side information"
    - "fundamental limits of caching"
    - "broadcast capacity region of two phase bidirectional relaying"

Connected through hyperedge HE-4 (induced by source paper "on the design of multi dimensional irregular repeat accumulate lattice codes"):
  with members:
    - "leech constellations of construction a lattices"
    - "lattice partition multiple access a new method of downlink non orthogonal multiuser transmissions"
    - "construction of full diversity ldpc lattices for block fading channels"
    - "lattice index coding"
    - "construction a of lattices over number fields and block fading wiretap coding"
    - "lattices over eisenstein integers for compute and forward"
    - "low density lattice codes"
    - "design and analysis of nonbinary ldpc codes for arbitrary discrete memoryless channels"

Connected through hyperedge HE-5 (induced by source paper "random ensembles of lattices from generalized reductions"):
  with members:
    - "algebraic lattice codes achieve the capacity of the compound block fading channel"
    - "adaptive compute and forward with lattice codes over algebraic integers"
    - "construction a of lattices over number fields and block fading wiretap coding"
    - "semantically secure lattice codes for the gaussian wiretap channel"

Connected through hyperedge HE-6 (induced by source paper "lattice codes achieve the capacity of common message gaussian broadcast channels with coded side information"):
  with members:
    - "capacity of coded index modulation"
    - "index codes for the gaussian broadcast channel using quadrature amplitude modulation"
    - "a lattice approach for optimal rate diverse wireless network coding"
    - "lattice index coding"
    - "index coding with coded side information"
    - "joint network and gelfand pinsker coding for 3 receiver gaussian broadcast channels with receiver message side information"
    - "the capacity of three receiver awgn broadcast channels with receiver message side information"
    - "achieving awgn channel capacity with lattice gaussian coding"

Connected through hyperedge HE-7 (induced by source paper "adaptive compute and forward with lattice codes over algebraic integers"):
  with members:
    - "construction pi_a and pi_d lattices construction goodness and decoding algorithms"
    - "real interference alignment exploiting the potential of single antenna systems"
    - "multistage compute and forward with multilevel lattice codes based on product constructions"
    - "phase precoded compute and forward with partial feedback"
    - "lattices from codes for harnessing interference an overview and generalizations"
    - "lattices over eisenstein integers for compute and forward"
    - "semantically secure lattice codes for the gaussian wiretap channel"
    - "multilevel coding schemes for compute and forward with flexible decoding"

Connected through hyperedge HE-8 (induced by source paper "lattice index coding"):
  with members:
    - "capacity of coded index modulation"
    - "index codes for the gaussian broadcast channel using quadrature amplitude modulation"
    - "multistage compute and forward with multilevel lattice codes based on product constructions"
    - "joint network and gelfand pinsker coding for 3 receiver gaussian broadcast channels with receiver message side information"
    - "the capacity of three receiver awgn broadcast channels with receiver message side information"
    - "index coding via linear programming"
    - "broadcast capacity region of two phase bidirectional relaying"
    - "on the index coding problem and its relation to network coding and matroid theory"

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)