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 "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.

Includes members:
  Member "progress on high rate msr codes enabling arbitrary number of helper nodes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "cascade codes for distributed storage systems")
  Member "enabling all node repair in minimum storage regenerating codes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a generic transformation to enable optimal repair in mds codes for distributed storage systems")
  Member "an explicit coupled layer construction of a high rate msr code with low sub packetization level small field size and all node repair":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "explicit constructions of optimal access mds codes with nearly optimal sub packetization":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "improved upper bounds on systematic length for linear minimum storage regenerating codes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "an exponential lower bound on the sub packetization of msr codes")
  Member "an improved sub packetization bound for minimum storage regenerating codes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "convertible codes efficient conversion of coded data in distributed storage")
  Member "interference alignment in regenerating codes for distributed storage necessity and code constructions":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "conditional disclosure of secrets a noise and signal alignment approach")

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)