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: "a simple proof for the existence of good pairs of nested lattices"
  Abstract: This paper provides a simplified proof for the existence of nested lattice codebooks allowing to achieve the capacity of the additive white Gaussian noise channel, as well as the optimal rate-distortion trade-off for a Gaussian source. The proof is self-contained and relies only on basic probabilistic and geometrical arguments. An ensemble of nested lattices that is different, and more elementary, than the one used in previous proofs is introduced. This ensemble is based on lifting different subcodes of a linear code to the Euclidean space using Construction A. In addition to being simpler, our analysis is less sensitive to the assumption that the additive noise is Gaussian. In particular, for additive ergodic noise channels it is shown that the achievable rates of the nested lattice coding scheme depend on the noise distribution only via its power. Similarly, the nested lattice source coding scheme attains the same rate-distortion trade-off for all ergodic sources with the same second moment.

Connected through hyperedge HE-1 (induced by source paper "private information retrieval over gaussian mac"):
  with members:
    - "noisy private information retrieval on separability of channel coding and information retrieval"
    - "asymptotically optimal scheduling for compute and forward"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "the capacity of private information retrieval with partially known private side information"
    - "gaussian multiple access via compute and forward"
    - "the capacity of private information retrieval from byzantine and colluding databases"
    - "the necessity of scheduling in compute and forward"
    - "the capacity of robust private information retrieval with colluding databases"

Connected through hyperedge HE-2 (induced by source paper "integer forcing architectures for uplink cloud radio access networks"):
  with members:
    - "achievability performance bounds for integer forcing source coding"
    - "green heterogeneous cloud radio access networks potential techniques performance trade offs and challenges"
    - "on the optimal fronthaul compression and decoding strategies for uplink cloud radio access networks"
    - "outage behavior of integer forcing with random unitary pre processing"
    - "fronthaul compression and transmit beamforming optimization for multi antenna uplink c ran"
    - "system architecture and key technologies for 5g heterogeneous cloud radio access networks"
    - "cloud radio access network virtualizing wireless access for dense heterogeneous systems"
    - "optimized backhaul compression for uplink cloud radio access network"

Connected through hyperedge HE-3 (induced by source paper "quadratically constrained two way adversarial channels"):
  with members:
    - "the capacity region of the arbitrarily varying mac with and without constraints"
    - "byzantine multiple access"
    - "quadratically constrained myopic adversarial channels"
    - "on avcs with quadratic constraints"
    - "mutual information games in multi user channels with correlated jamming"

Connected through hyperedge HE-4 (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-5 (induced by source paper "list decoding random euclidean codes and infinite constellations"):
  with members:
    - "good distance lattices from high dimensional expanders"
    - "improved list decodability of random linear binary codes"
    - "quadratically constrained myopic adversarial channels"
    - "on the weight distribution of random binary linear codes"
    - "list decoding with double samplers"
    - "sufficiently myopic adversaries are blind"
    - "it ll probably work out improved list decoding through random operations"
    - "every list decodable code for high noise has abundant near optimal rate puncturings"

Connected through hyperedge HE-6 (induced by source paper "ring compute and forward over block fading channels"):
  with members:
    - "boosted kz and lll algorithms"
    - "polynomially solvable instances of the shortest and closest vector problems with applications to compute and forward"
    - "algebraic lattice codes achieve the capacity of the compound block fading channel"
    - "universal lattice codes for mimo channels"
    - "adaptive compute and forward with lattice codes over algebraic integers"
    - "construction a of lattices over number fields and block fading wiretap coding"
    - "lattices over eisenstein integers for compute and forward"
    - "an algebraic approach to physical layer network coding"

Connected through hyperedge HE-7 (induced by source paper "generalized compute compress and forward"):
  with members:
    - "expanding the compute and forward framework unequal powers signal levels and multiple linear combinations"
    - "compute compress and forward exploiting asymmetry of wireless relay networks"
    - "lattice codes for many to one interference channels with and without cognitive messages"
    - "asymmetric compute and forward with csit"
    - "optimized backhaul compression for uplink cloud radio access network"
    - "successive integer forcing and its sum rate optimality"
    - "an algebraic approach to physical layer network coding"
    - "integer forcing mimo linear receivers based on lattice reduction"

Connected through hyperedge HE-8 (induced by source paper "awgn goodness is enough capacity achieving lattice codes based on dithered probabilistic shaping"):
  with members:
    - "fundamental limits of communication with low probability of detection"
    - "covert communication over noisy channels a resolvability perspective"
    - "on probabilistic shaping of quadrature amplitude modulation for the nonlinear fiber channel"
    - "algebraic lattice codes achieve the capacity of the compound block fading channel"
    - "lda lattices without dithering achieve capacity on the gaussian channel"
    - "almost universal codes for fading wiretap channels"
    - "construction of capacity achieving lattice codes polar lattices"
    - "on the lattice smoothing parameter problem"

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)