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 "an exponential lower bound on the sub packetization of msr codes"):
  Abstract: An $(n,k,\ell)$-vector MDS code is a $\mathbb{F}$-linear subspace of $(\mathbb{F}^\ell)^n$ (for some field $\mathbb{F}$) of dimension $k\ell$, such that any $k$ (vector) symbols of the codeword suffice to determine the remaining $r=n-k$ (vector) symbols. The length $\ell$ of each codeword symbol is called the sub-packetization of the code. Such a code is called minimum storage regenerating (MSR), if any single symbol of a codeword can be recovered by downloading $\ell/r$ field elements (which is known to be the least possible) from each of the other symbols. #R##N#MSR codes are attractive for use in distributed storage systems, and by now a variety of ingenious constructions of MSR codes are available. However, they all suffer from exponentially large sub-packetization $\ell \gtrsim r^{k/r}$. Our main result is an almost tight lower bound showing that for an MSR code, one must have $\ell \ge \exp(\Omega(k/r))$. Previously, a lower bound of $\approx \exp(\sqrt{k/r})$, and a tight lower bound for a restricted class of "optimal access" MSR codes, were known. Our work settles a central open question concerning MSR codes that has received much attention. Further our proof is really short, hinging on one key definition that is somewhat inspired by Galois theory.

Includes members:
  Member "optimal repair of reed solomon codes achieving the cut set bound":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "new constructions of cooperative msr codes reducing node size to exp o n")
  Member "mds code constructions with small sub packetization and near optimal repair bandwidth":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "a tight lower bound on the sub packetization level of optimal access msr and mds codes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "minimum storage regenerating codes for all parameters":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "towards practical private information retrieval from mds array codes")
  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-5 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "explicit constructions of high rate mds array codes with optimal repair bandwidth":
    also connected through other hyperedges:
      - Hyperedge HE-6 (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-7 (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-8 (induced by source paper "a tight lower bound on the sub packetization level of optimal access msr and mds codes")

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)