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: "update efficient error correcting product matrix codes"
  Abstract: Regenerating codes provide an efficient way to recover data at failed nodes in distributed storage systems. It has been shown that regenerating codes can be designed to minimize the per-node storage (called MSR) or minimize the communication overhead for regeneration (called MBR). In this work, we propose new encoding schemes for $[n,d]$ error-correcting MSR and MBR codes that generalize our earlier work on error-correcting regenerating codes. We show that by choosing a suitable diagonal matrix, any generator matrix of the $[n,\alpha]$ Reed-Solomon (RS) code can be integrated into the encoding matrix. Hence, MSR codes with the least update complexity can be found. By using the coefficients of generator polynomials of $[n,k]$ and $[n,d]$ RS codes, we present a least-update-complexity encoding scheme for MBR codes. A decoding scheme is proposed that utilizes the $[n,\alpha]$ RS code to perform data reconstruction for MSR codes. The proposed decoding scheme has better error correction capability and incurs the least number of node accesses when errors are present. A new decoding scheme is also proposed for MBR codes that can correct more error-patterns.

Connected through hyperedge HE-1 (induced by source paper "towards practical private information retrieval from mds array codes"):
  with members:
    - "a new capacity achieving private information retrieval scheme with almost optimal file length for coded servers"
    - "on the pir capacity of msr codes"
    - "breaking the mds pir capacity barrier via joint storage coding"
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "on sub packetization and access number of capacity achieving pir schemes for mds coded non colluding servers"
    - "private information retrieval schemes with regenerating codes"

Connected through hyperedge HE-2 (induced by source paper "bandwidth adaptive error resilient mbr exact repair regenerating codes"):
  with members:
    - "product matrix msr codes with bandwidth adaptive exact repair"
    - "product matrix minimum storage regenerating codes with flexible number of helpers"
    - "mds codes with progressive engagement property for cloud storage systems"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "on mbr codes with replication"
    - "explicit constructions of optimal access mds codes with nearly optimal sub packetization"
    - "information theoretically secure erasure codes for distributed storage"
    - "beyond the mds bound in distributed cloud storage"

Connected through hyperedge HE-3 (induced by source paper "on mbr codes with replication"):
  with members:
    - "novel repair by transfer codes and systematic exact mbr codes with lower complexities and smaller field sizes"
    - "on minimizing data read and download for storage node recovery"
    - "distributed storage codes with repair by transfer and nonachievability of interior points on the storage bandwidth tradeoff"
    - "optimal exact regenerating codes for distributed storage at the msr and mbr points via a product matrix construction"
    - "fractional repetition codes for repair in distributed storage systems"
    - "explicit construction of optimal exact regenerating codes for distributed storage"

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)