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 new multi edge metric constrained peg algorithm for designing binary ldpc code with improved cycle structure"):
  Abstract: The progressive edge-growth (PEG) algorithm constructs an edge in each stage to maximize the variable node (VN) of interest’s local girth in real time. Thus, this VN’s local girths, after more than one edge is added to the current tanner graph (TG) setting, may not be maximized relative to that TG setting. To address this problem, we define the multi-edge local girth and edge-trial, and based on these definitions, propose a new multi-edge metric-constrained PEG algorithm (MM-PEGA) to improve the design at each VN. The MM-PEGA constructs an edge in each stage that, relative to the current TG setting, can potentially maximize the VN of interest’s local girth after a certain number (up to the edge-trial) of edges are added to the TG setting. We first analyze the properties of the multi-edge local girth, and then propose an algorithm for calculating the multi-edge local girth. We also propose a method for accelerating the MM-PEGA. Moreover, we generalize the MM-PEGA for improving different PEG-like designs. According to the theoretical analysis, increasing the edge-trial of the MM-PEGA is expected to positively affect the cycle-structure and the error performance of resulting low-density parity-check (LDPC) code. This expectation is verified by simulations.

Includes members:
  Member "quasi cyclic ldpc codes based on pre lifted protographs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "outage limit approaching protograph ldpc codes for slow fading wireless communications")
  Member "design of multiple edge protographs for qc ldpc codes avoiding short inevitable cycles":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "bounding the bethe and the degree m bethe permanents")
  Member "searching for voltage graph based ldpc tailbiting codes with large girth":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "integer ring sieve irs for constructing compact qc ldpc codes with large girth")
  Member "design of finite length irregular protograph codes with low error floors over the binary input awgn channel using cyclic liftings":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "construction of qc ldpc codes with low error floor by efficient systematic search and elimination of trapping sets")

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)