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 "linearity and complements in projective space"):
  Abstract: The projective space of order $n$ over the finite field $\Fq$, denoted here as $\Ps$, is the set of all subspaces of the vector space $\Fqn$. The projective space can be endowed with distance function $d_S(X,Y) = \dim(X) + \dim(Y) - 2\dim(X\cap Y)$ which turns $\Ps$ into a metric space. With this, \emph{an $(n,M,d)$ code $\C$ in projective space} is a subset of $\Ps$ of size $M$ such that the distance between any two codewords (subspaces) is at least $d$. Koetter and Kschischang recently showed that codes in projective space are precisely what is needed for error-correction in networks: an $(n,M,d)$ code can correct $t$ packet errors and $\rho$ packet erasures introduced (adversarially) anywhere in the network as long as $2t + 2\rho < d$. This motivates new interest in such codes. #R##N#In this paper, we examine the two fundamental concepts of \myemph{complements} and \myemph{linear codes} in the context of $\Ps$. These turn out to be considerably more involved than their classical counterparts. These concepts are examined from two different points of view, coding theory and lattice theory. Our discussion reveals some surprised phenomena of these concepts in $\Ps$ and leaves some interesting problems for further research.

Includes members:
  Member "error correcting codes in projective spaces via rank metric codes and ferrers diagrams":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a note on echelon ferrers construction")
  Member "a rank metric approach to error control in random network coding":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "roos bound for skew cyclic codes in hamming and rank metric")
  Member "construction of large constant dimension codes with a prescribed minimum distance":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on some automorphisms of rational functions and their applications in rank metric codes")
  Member "constant rank codes and their connection to constant dimension codes":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "probability of partially solving random linear systems in network coding")
  Member "coding for errors and erasures in random network coding":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on the gap between scalar and vector solutions of generalized combination networks")
  Member "johnson type bounds on constant dimension codes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the lattice structure of linear subspace 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)