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: "a tight lower bound on the sub packetization level of optimal access msr and mds codes"
  Abstract: The first focus of the present paper, is on lower bounds on the sub-packetization level $\alpha$ of an MSR code that is capable of carrying out repair in help-by-transfer fashion (also called optimal-access property). We prove here a lower bound on $\alpha$ which is shown to be tight for the case $d=(n-1)$ by comparing with recent code constructions in the literature. #R##N#We also extend our results to an $[n,k]$ MDS code over the vector alphabet. Our objective even here, is on lower bounds on the sub-packetization level $\alpha$ of an MDS code that can carry out repair of any node in a subset of $w$ nodes, $1 \leq w \leq (n-1)$ where each node is repaired (linear repair) by help-by-transfer with minimum repair bandwidth. We prove a lower bound on $\alpha$ for the case of $d=(n-1)$. This bound holds for any $w (\leq n-1)$ and is shown to be tight, again by comparing with recent code constructions in the literature. Also provided, are bounds for the case $d<(n-1)$. #R##N#We study the form of a vector MDS code having the property that we can repair failed nodes belonging to a fixed set of $Q$ nodes with minimum repair bandwidth and in optimal-access fashion, and which achieve our lower bound on sub-packetization level $\alpha$. It turns out interestingly, that such a code must necessarily have a coupled-layer structure, similar to that of the Ye-Barg code.

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 "enabling optimal access and error correction for the repair of reed solomon codes"):
  with members:
    - "explicit constructions of msr codes for clustered distributed storage the rack aware storage model"
    - "optimal repairing schemes for reed solomon codes with alphabet sizes linear in lengths under the rack aware model"
    - "on the i o costs of some repair schemes for full length reed solomon codes"
    - "the repair problem for reed solomon codes optimal repair of single and multiple erasures asymptotically optimal node size"
    - "repairing reed solomon codes with multiple erasures"
    - "minimum storage regenerating codes for all parameters"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "explicit constructions of optimal access mds codes with nearly optimal sub packetization"

Connected through hyperedge HE-3 (induced by source paper "convertible codes efficient conversion of coded data in distributed storage"):
  with members:
    - "an exponential lower bound on the sub packetization of msr codes"
    - "combinatorial alphabet dependent bounds for locally recoverable codes"
    - "capacity of locally recoverable codes"
    - "a layered architecture for erasure coded consistent distributed storage"
    - "product matrix msr codes with bandwidth adaptive exact repair"
    - "bandwidth adaptive error resilient mbr exact repair regenerating codes"
    - "the storage vs repair bandwidth trade off for multiple failures in clustered storage networks"
    - "locally recoverable codes from algebraic curves and surfaces"

Connected through hyperedge HE-4 (induced by source paper "cascade codes for distributed storage systems"):
  with members:
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "determinant codes with helper independent repair for single and multiple failures"
    - "a class of msr codes for clustered distributed storage"
    - "product matrix msr codes with bandwidth adaptive exact repair"
    - "bandwidth adaptive error resilient mbr exact repair regenerating codes"
    - "capacity of clustered distributed storage"
    - "progress on high rate msr codes enabling arbitrary number of helper nodes"
    - "minimum storage regenerating codes for all parameters"

Connected through hyperedge HE-5 (induced by source paper "explicit constructions of msr codes for clustered distributed storage the rack aware storage model"):
  with members:
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "the storage versus repair bandwidth trade off for clustered storage systems"
    - "rack aware regenerating codes for data centers"
    - "cooperative repair constructions of optimal mds codes for all admissible parameters"
    - "a class of msr codes for clustered distributed storage"
    - "erasure coding for distributed storage an overview"
    - "optimal repair layering for erasure coded data centers from theory to practice"
    - "increasing availability in distributed storage systems via clustering"

Connected through hyperedge HE-6 (induced by source paper "an exponential lower bound on the sub packetization of msr codes"):
  with members:
    - "optimal repair of reed solomon codes achieving the cut set bound"
    - "mds code constructions with small sub packetization and near optimal repair bandwidth"
    - "minimum storage regenerating codes for all parameters"
    - "an explicit coupled layer construction of a high rate msr code with low sub packetization level small field size and all node repair"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "explicit constructions of optimal access mds codes with nearly optimal sub packetization"
    - "improved upper bounds on systematic length for linear minimum storage regenerating codes"
    - "a high rate msr code with polynomial sub packetization level"

Connected through hyperedge HE-7 (induced by source paper "multi layer transformed mds codes with optimal repair access and low sub packetization"):
  with members:
    - "a unified form of evenodd and rdp codes and their efficient decoding"
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "binary mds array codes with optimal repair"
    - "minimum storage regenerating codes for all parameters"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "explicit constructions of optimal access mds codes with nearly optimal sub packetization"
    - "repair optimal mds array codes over gf 2"
    - "zigzag codes mds array codes with optimal rebuilding"

Connected through hyperedge HE-8 (induced by source paper "capacity achieving private information retrieval codes with optimal message size and upload cost"):
  with members:
    - "an mds pir capacity achieving protocol for distributed storage using non mds linear codes"
    - "a generic transformation to enable optimal repair in mds codes for distributed storage systems"
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "asymmetry hurts private information retrieval under asymmetric traffic constraints"
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "the capacity of cache aided private information retrieval"
    - "on the placement delivery array design for centralized coded caching scheme"

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)