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: "low rank parity check codes new decoding algorithms and applications to cryptography"
  Abstract: We introduce a new family of rank metric codes: Low Rank Parity Check codes (LRPC), for which we propose an efficient probabilistic decoding algorithm. This family of codes can be seen as the equivalent of classical LDPC codes for the rank metric. We then use these codes to design cryptosystems a la McEliece: more precisely we propose two schemes for key encapsulation mechanism (KEM) and public key encryption (PKE). Unlike rank metric codes used in #R##N#previous encryption algorithms -notably Gabidulin codes - LRPC codes have a very weak algebraic structure. Our cryptosystems can be seen as an equivalent of the NTRU cryptosystem (and also to the more recent MDPC \cite{MTSB12} cryptosystem) in a rank metric context. The present paper is an extended version of the article introducing LRPC codes, with important new contributions. We have improved the decoder thanks to a new approach which allows for decoding of errors of higher rank weight, namely up to $\frac{2}{3}(n-k)$ when the previous decoding algorithm only decodes up to $\frac{n-k}{2}$ errors. Our codes therefore outperform the classical Gabidulin code decoder which deals with weights up to $\frac{n-k}{2}$. This comes at the expense of probabilistic decoding, but the decoding error probability can be made arbitrarily small. The new approach can also be used to decrease the decoding error probability of previous schemes, which is especially useful for cryptography. Finally, we introduce ideal rank codes, which generalize double-circulant rank codes and allow us to avoid known structural attacks based on folding. To conclude, we propose different parameter sizes for our schemes and we obtain a public key of 3337 bits for key exchange and 5893 bits for public key encryption, both for 128 bits of security.

Connected through hyperedge HE-1 (induced by source paper "low rank parity check codes over the ring of integers modulo a prime power"):
  with members:
    - "efficient decoding of interleaved low rank parity check codes"

Connected through hyperedge HE-2 (induced by source paper "on some automorphisms of rational functions and their applications in rank metric codes"):
  with members:
    - "reliable and secure multishot network coding using linearized reed solomon codes"
    - "maximal ferrers diagram codes constructions and genericity considerations"
    - "on the genericity of maximum rank distance and gabidulin codes"
    - "skew and linearized reed solomon codes and maximum sum rank distance codes over any division ring"
    - "new criteria for mrd and gabidulin codes and some rank metric code constructions"
    - "a singleton bound for generalized ferrers diagram rank metric codes"
    - "convolutional codes with maximum column sum rank for network streaming"
    - "subspace codes from ferrers diagrams"

Connected through hyperedge HE-3 (induced by source paper "interleaving loidreau s rank metric cryptosystem"):
  with members:
    - "on the security of a loidreau s rank metric code based encryption scheme"
    - "decoding high order interleaved rank metric codes"
    - "on decoding and applications of interleaved goppa codes"
    - "a public key cryptosystem from interleaved goppa codes"
    - "on the genericity of maximum rank distance and gabidulin codes"
    - "repairing the faure loidreau public key cryptosystem"
    - "further generalisations of twisted gabidulin codes"
    - "new algorithms for decoding in the rank metric and an attack on the lrpc cryptosystem"

Connected through hyperedge HE-4 (induced by source paper "efficient decoding of interleaved low rank parity check codes"):
  with members:
    - "decoding high order interleaved rank metric codes"
    - "repairing the faure loidreau public key cryptosystem"
    - "a rank metric approach to error control in random network coding"

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)