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: "packing and covering properties of subspace codes for error control in random linear network coding"
  Abstract: Codes in the projective space and codes in the Grassmannian over a finite field - referred to as subspace codes and constant-dimension codes (CDCs), respectively - have been proposed for error control in random linear network coding. For subspace codes and CDCs, a subspace metric was introduced to correct both errors and erasures, and an injection metric was proposed to correct adversarial errors. In this paper, we investigate the packing and covering properties of subspace codes with both metrics. We first determine some fundamental geometric properties of the projective space with both metrics. Using these properties, we then derive bounds on the cardinalities of packing and covering subspace codes, and determine the asymptotic rates of optimal packing and optimal covering subspace codes with both metrics. Our results not only provide guiding principles for the code design for error control in random linear network coding, but also illustrate the difference between the two metrics from a geometric perspective. In particular, our results show that optimal packing CDCs are optimal packing subspace codes up to a scalar for both metrics if and only if their dimension is half of their length (up to rounding). In this case, CDCs suffer from only limited rate loss as opposed to subspace codes with the same minimum distance. We also show that optimal covering CDCs can be used to construct asymptotically optimal covering subspace codes with the injection metric only.

Connected through hyperedge HE-1 (induced by source paper "list and probabilistic unique decoding of folded subspace codes"):
  with members:
    - "list and unique error erasure decoding of interleaved gabidulin codes with interpolation techniques"
    - "efficient interpolation based decoding of interleaved subspace and gabidulin codes"
    - "explicit rank metric codes list decodable with optimal redundancy"
    - "bounds on list decoding of rank metric codes"
    - "list decoding of lifted gabidulin codes via the plucker embedding"
    - "list decoding subspace codes from insertions and deletions"
    - "list decoding of subspace codes and rank metric codes up to singleton bound"
    - "general linearized polynomial interpolation and its applications"

Connected through hyperedge HE-2 (induced by source paper "batched sparse codes"):
  with members:
    - "overhead optimized gamma network codes"
    - "effects of the generation size and overlap on throughput and complexity in randomized linear network coding"
    - "on the capacity of non coherent network coding"
    - "coding for linear operator channels over finite fields"
    - "communication over finite field matrix channels"
    - "overlapped chunked network coding"
    - "sparse network coding with overlapping classes"
    - "compute and forward harnessing interference through structured codes"

Connected through hyperedge HE-3 (induced by source paper "on the bounds of certain maximal linear codes in a projective space"):
  with members:
    - "cyclic orbit codes"
    - "linearity and complements in projective space"
    - "error correcting codes in projective spaces via rank metric codes and ferrers diagrams"
    - "coding for errors and erasures in random network coding"

Connected through hyperedge HE-4 (induced by source paper "problems on q analogs in coding theory"):
  with members:
    - "a complete characterization of irreducible cyclic orbit codes and their plucker embedding"
    - "new lower bounds for constant dimension codes"
    - "bounds for projective codes from semidefinite programming"
    - "cyclic orbit codes"
    - "list decoding of lifted gabidulin codes via the plucker embedding"
    - "isometry and automorphisms of constant dimension codes"
    - "list decoding subspace codes from insertions and deletions"
    - "decoding of subspace codes a problem of schubert calculus over finite fields"

Connected through hyperedge HE-5 (induced by source paper "beyond the cut set bound uncertainty computations in network coding with correlated sources"):
  with members:
    - "on secure network coding with uniform wiretap sets"
    - "beyond the cut set bound uncertainty computations in network coding with correlated sources"
    - "multishot codes for network coding using rank metric codes"
    - "network coding capacity a functional dependence bound"
    - "a rank metric approach to error control in random network coding"
    - "coding for errors and erasures in random network coding"
    - "packing and covering properties of rank metric codes"
    - "on coding for reliable communication over packet networks"

Connected through hyperedge HE-6 (induced by source paper "expander chunked codes"):
  with members:
    - "batched sparse codes"
    - "overhead optimized gamma network codes"
    - "linear complexity overhead optimized random linear network codes"
    - "effects of the generation size and overlap on throughput and complexity in randomized linear network coding"
    - "throughput and latency in finite buffer line networks"
    - "overlapped chunked network coding"
    - "sparse network coding with overlapping classes"
    - "coding schemes for line networks"

Connected through hyperedge HE-7 (induced by source paper "gray codes and enumerative coding for vector spaces"):
  with members:
    - "snake in the box codes for rank modulation"
    - "recursive code construction for random networks"
    - "enumerative coding for grassmannian space"
    - "on metrics for error correction in network coding"
    - "error correcting codes in projective spaces via rank metric codes and ferrers diagrams"
    - "a rank metric approach to error control in random network coding"
    - "constant rank codes and their connection to constant dimension codes"
    - "coding for errors and erasures in random network coding"

Connected through hyperedge HE-8 (induced by source paper "codes and designs related to lifted mrd codes"):
  with members:
    - "error resilience in distributed storage via rank metric codes"
    - "the asymptotic behavior of grassmannian codes"
    - "new improvements on the echelon ferrers construction"
    - "large constant dimension codes and lexicodes"
    - "recursive code construction for random networks"
    - "error correcting codes in projective spaces via rank metric codes and ferrers diagrams"
    - "spread codes and spread decoding in network coding"
    - "a rank metric approach to error control in random network coding"

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)