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 "maximal ferrers diagram codes constructions and genericity considerations"):
  Abstract: This paper investigates the construction of rank-metric codes with specified Ferrers diagram shapes. These codes play a role in the multilevel construction for subspace codes. A conjecture from 2009 provides an upper bound for the dimension of a rank-metric code with given specified Ferrers diagram shape and rank distance. While the conjecture in its generality is wide open, several cases have been established in the literature. This paper contributes further cases of Ferrers diagrams and ranks for which the conjecture holds true. In addition, probabilities for maximal Ferrers diagram codes and MRD codes are investigated. It is shown that for growing field size the limiting probability for the event that randomly chosen matrices with given shape generate a maximal Ferrers diagram code, depends highly on the Ferrers diagram. For instance, for [m x 2]-MRD codes with rank 2 this limiting probability is close to 1/e.

Includes members:
  Member "on the sparseness of certain mrd codes":
    also connected through other hyperedges:
      (none)
  Member "partition balanced families of codes and asymptotic enumeration in coding theory":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "mathbb f _ q n linear rank distance codes and their distinguishers")
  Member "on the genericity of maximum rank distance and gabidulin codes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "equivalence and characterizations of linear rank metric codes based on invariants")
  Member "algebraic structures of mrd codes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "partitions of matrix spaces with an application to q rook polynomials")
  Member "construction of subspace codes through linkage":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "distance distributions of cyclic orbit codes")
  Member "row reduction applied to decoding of rank metric and subspace codes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "decoding high order interleaved rank metric codes")
  Member "subspace polynomials and cyclic subspace codes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "distance distributions of cyclic orbit codes")
  Member "subspace codes based on graph matchings ferrers diagrams and pending blocks":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "distance distributions of cyclic orbit 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)