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 "a novel user pairing scheme for functional decode and forward multi way relay network"):
  Abstract: In this paper, we consider a functional decode and forward (FDF) multi-way relay network (MWRN) where a common user facilitates each user in the network to obtain messages from all other users. We propose a novel user pairing scheme, which is based on the principle of selecting a common user with the best average channel gain. This allows the user with the best channel conditions to contribute to the overall system performance. Assuming lattice code based transmissions, we derive upper bounds on the average common rate and the average sum rate with the proposed pairing scheme. Considering M-ary quadrature amplitude modulation with square constellation as a special case of lattice code transmission, we derive asymptotic average symbol error rate (SER) of the MWRN. We show that in terms of the achievable rates, the proposed pairing scheme outperforms the existing pairing schemes under a wide range of channel scenarios. The proposed pairing scheme also has lower average SER compared to existing schemes. We show that overall, the MWRN performance with the proposed pairing scheme is more robust, compared to existing pairing schemes, especially under worst case channel conditions when majority of users have poor average channel gains.

Includes members:
  Member "optimal coding functions for pairwise message sharing on finite field multi way relay channels":
    also connected through other hyperedges:
      (none)
  Member "on the achievable rates of pairwise multiway relay channels":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "maximizing data rate for multiway relay channels with pairwise transmission strategy")
  Member "symbol and bit mapping optimization for physical layer network coding with pulse amplitude modulation":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the subtleties of q pam linear physical layer network coding")
  Member "error performance analysis of df and af multi way relay networks with bpsk modulation":
    also connected through other hyperedges:
      (none)
  Member "on the equal rate capacity of the awgn multiway relay channel":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "degrees of freedom of the mimo three way channel with node intermittency")
  Member "asynchronous physical layer network coding":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "an analysis of two user uplink asynchronous non orthogonal multiple access systems")
  Member "nested lattice codes for gaussian relay networks with interference":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "generalized compute compress and forward")
  Member "physical layer network coding tutorial survey and beyond":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "random access for massive machine type communications")

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)