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 "spatially coupled ldpc ensembles on burst erasure channels"):
  Abstract: Spatially-Coupled LDPC (SC-LDPC) ensembles have gained significant interest since they were shown to universally achieve the capacity of binary memoryless channels under low-complexity belief-propagation decoding. In this work, we focus on the performance of these ensembles over binary erasure channels affected additionally by bursts. We assume that the burst can erase either a complete spatial position, modeling node failures in distributed storage, or can span across multiple spatial positions. We study the expected performance of random regular SC-LDPC ensembles on single-burst-erasure channels and provide tight lower bounds for the block erasure probability ($P_B$) at finite block length and bounds on the coupling parameter for being asymptotically able to recover the burst. Subsequently, we show the effect of introducing additional random erasures to these channels. Finally, we show that expurgation can bring substantial improvements in the block error rate by analyzing the minimal stopping sets of some expurgated code ensembles. Our study shows that for a fixed asymptotic code rate, the combination of increasing the variable node degree and expurgating the ensemble can improve the block error probability by several orders of magnitude. All the results are verified using Monte-Carlo simulations.

Includes members:
  Member "spatially coupled ldpc codes affected by a single random burst of erasures":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "finite length analysis of spatially coupled regular ldpc ensembles on burst erasure channels")
  Member "band splitting permutations for spatially coupled ldpc codes enhancing burst erasure immunity":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "finite length analysis of spatially coupled regular ldpc ensembles on burst erasure channels")
  Member "spatially coupled ensembles universally achieve capacity under belief propagation":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "capacity achieving spatially coupled sparse superposition codes with amp decoding")
  Member "threshold saturation via spatial coupling why convolutional ldpc ensembles perform so well over the bec":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "capacity achieving spatially coupled sparse superposition codes with amp decoding")
  Member "scaling behavior of convolutional ldpc ensembles over the bec":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "covariance evolution for spatially mt fuji coupled ldpc codes")
  Member "low density parity check codes for nonergodic block fading channels":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "protograph ldpc code design for asynchronous random access")

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)