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 "unifying notions of generalized weights for universal security on wire tap networks"):
  Abstract: Universal security over a network with linear network coding has been intensively studied. However, previous linear codes used for this purpose were linear over a larger field than that used on the network. In this work, we introduce new parameters (relative dimension/rank support profile and relative generalized matrix weights) for linear codes that are linear over the field used in the network, measuring the universal security performance of these codes. The proposed new parameters enable us to use optimally universal secure linear codes on noiseless networks for all possible parameters, as opposed to previous works, and also enable us to add universal security to the recently proposed list-decodable rank-metric codes by Guruswami et al. We give several properties of the new parameters: monotonicity, Singleton-type lower and upper bounds, a duality theorem, and definitions and characterizations of equivalences of linear codes. Finally, we show that our parameters strictly extend relative dimension/length profile and relative generalized Hamming weights, respectively, and relative dimension/intersection profile and relative generalized rank weights, respectively. Moreover, we show that generalized matrix weights are larger than Delsarte generalized weights.

Includes members:
  Member "on defining generalized rank weights":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "rank metric codes")
  Member "relative generalized rank weight of linear codes and its applications to network coding":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "reliable and secure multishot network coding using linearized reed solomon codes")
  Member "on the similarities between generalized rank and hamming weights and their applications to network coding":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a geometric approach to rank metric codes and a classification of constant weight codes")
  Member "generalized weights an anticode approach":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "rank metric codes")
  Member "rank metric codes and their duality theory":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "degenerate flag varieties in network coding")
  Member "relative generalized hamming weights of one point algebraic geometric codes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on asymptotically good ramp secret sharing schemes")
  Member "equivalence for rank metric and matrix codes and automorphism groups of gabidulin codes":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "equivalence and characterizations of linear rank metric codes based on invariants")
  Member "generalized rank weights a duality statement":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "a geometric approach to rank metric codes and a classification of constant weight 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)