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: "on the duality of erasures and defects"
  Abstract: In this paper, the duality of erasures and defects will be investigated by comparing the binary erasure channel (BEC) and the binary defect channel (BDC). The duality holds for channel capacities, capacity achieving schemes, minimum distances, and upper bounds on the probability of failure to retrieve the original message. Also, the binary defect and erasure channel (BDEC) will be introduced by combining the properties of the BEC and the BDC. It will be shown that the capacity of the BDEC can be achieved by the coding scheme that combines the encoding for the defects and the decoding for the erasures. This coding scheme for the BDEC has two separate redundancy parts for correcting erasures and masking defects. Thus, we will investigate the problem of redundancy allocation between these two parts.

Connected through hyperedge HE-1 (induced by source paper "duality between erasures and defects"):
  with members:
    - "locally rewritable codes for resistive memories"
    - "reed muller codes achieve capacity on erasure channels"
    - "rewriting flash memories by message passing"
    - "cyclic lrc codes and their subfield subcodes"
    - "coding scheme for 3d vertical flash memory"
    - "writing on dirty flash memory"
    - "a family of optimal locally recoverable codes"
    - "coding for memory with stuck at defects"

Connected through hyperedge HE-2 (induced by source paper "locally rewritable codes for resistive memories"):
  with members:
    - "optimal binary locally repairable codes via anticodes"
    - "cyclic lrc codes and their subfield subcodes"
    - "a family of optimal locally recoverable codes"
    - "binary cyclic codes that are locally repairable"
    - "coding for memory with stuck at defects"
    - "optimal locally repairable codes via rank metric codes"
    - "optimal locally repairable codes and connections to matroid theory"
    - "on the locality of codeword symbols"

Connected through hyperedge HE-3 (induced by source paper "coding scheme for 3d vertical flash memory"):
  with members:
    - "writing on dirty flash memory"
    - "redundancy allocation of partitioned linear block codes"
    - "coding for memory with stuck at defects"
    - "modulation coding for flash memories"

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)