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: "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.

Connected through hyperedge HE-1 (induced by source paper "the lattice structure of linear subspace codes"):
  with members:
    - "equidistant subspace codes"
    - "on the bounds of certain maximal linear codes in a projective space"
    - "cyclic orbit codes"
    - "large constant dimension codes and lexicodes"
    - "enumerative coding for grassmannian space"
    - "construction of large constant dimension codes with a prescribed minimum distance"
    - "coding for errors and erasures in random network coding"
    - "johnson type bounds on constant dimension codes"

Connected through hyperedge HE-2 (induced by source paper "galois hulls of linear codes over finite fields"):
  with members:
    - "on sigma lcd codes"
    - "constructions of optimal lcd codes over large finite fields"
    - "euclidean and hermitian lcd mds codes"
    - "galois lcd codes over finite fields"
    - "new constructions of mds codes with complementary duals"
    - "complementary dual subfield linear codes over finite fields"
    - "matrix product codes over finite commutative frobenius rings"
    - "decoding of matrix product codes"

Connected through hyperedge HE-3 (induced by source paper "new binary and ternary lcd codes"):
  with members:
    - "linear codes over fq which are equivalent to lcd codes"
    - "euclidean and hermitian lcd mds codes"
    - "improved constructions of nested code pairs"
    - "on the distance of stabilizer quantum codes from j affine variety codes"
    - "lcd cyclic codes over finite fields"
    - "stabilizer quantum codes from j affine variety codes and a new steane like enlargement"
    - "quantum codes from affine variety codes and their subfield subcodes"
    - "new quantum codes from evaluation and matrix product codes"

Connected through hyperedge HE-4 (induced by source paper "lcd codes over mathbb f _q are as good as linear codes for q at least four"):
  with members:
    - "on mds negacyclic lcd codes"
    - "on hermitian lcd codes from cyclic codes and their applications to orthogonal direct sum masking"
    - "some bounds on binary lcd codes"
    - "new constructions of mds codes with complementary duals"
    - "complementary dual algebraic geometry codes"
    - "parameters of two classes of lcd bch codes"
    - "matrix product complementary dual codes"
    - "the combinatorics of lcd codes linear programming bound and orthogonal matrices"

Connected through hyperedge HE-5 (induced by source paper "generalized sphere packing bound"):
  with members:
    - "upper bounds on the size of grain correcting codes"
    - "bounds for projective codes from semidefinite programming"
    - "correcting grain errors in magnetic media"
    - "non asymptotic upper bounds for deletion correcting codes"
    - "on the non existence of lattice tilings by quasi crosses"
    - "write channel model for bit patterned media recording"
    - "coding for high density recording on a 1 d granular magnetic medium"
    - "coding for errors and erasures in random network coding"

Connected through hyperedge HE-6 (induced by source paper "on the bounds of certain maximal linear codes in a projective space"):
  with members:
    - "cyclic orbit codes"
    - "packing and covering properties of subspace codes for error control in random linear network coding"
    - "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-7 (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-8 (induced by source paper "cyclic orbit codes"):
  with members:
    - "a complete characterization of irreducible cyclic orbit codes and their plucker embedding"
    - "on conjugacy classes of subgroups of the general linear group and cyclic orbit codes"
    - "a complete characterization of irreducible cyclic orbit codes"
    - "an algebraic approach for decoding spread codes"
    - "spread decoding in extension fields"
    - "recursive code construction for random networks"
    - "construction of codes for network coding"
    - "error correcting codes in projective spaces via rank metric codes and ferrers diagrams"

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)