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 "on the complexity of the rank syndrome decoding problem"):
  Abstract: In this paper we propose two new generic attacks on the Rank Syndrome Decoding (RSD) problem #R##N#Let $C$ be a random $[n,k]$ rank code over $GF(q^m)$ and let $y=x+e$ be a received word such that $x \in C$ and the $Rank(e)=r$. The first attack is combinatorial and permits to recover an error $e$ of rank weight $r$ in $min(O((n-k)^3m^3q^{r\lfloor\frac{km}{n}\rfloor}, O((n-k)^3m^3q^{(r-1)\lfloor\frac{(k+1)m}{n}\rfloor}))$ operations on $GF(q)$. This attack dramatically improves on previous attack by introducing the length $n$ of the code in the exponent of the complexity, which was not the case in previous generic attacks. which can be considered The second attack is based on a algebraic attacks: based on the theory of $q$-polynomials introduced by Ore we propose a new algebraic setting for the RSD problem that permits to consider equations and unknowns in the extension field $GF(q^m)$ rather than in $GF(q)$ as it is usually the case. We consider two approaches to solve the problem in this new setting. Linearization technics show that if $n \ge (k+1)(r+1)-1$ the RSD problem can be solved in polynomial time, more generally we prove that if $\lceil \frac{(r+1)(k+1)-(n+1)}{r} \rceil \le k$, the problem can be solved with an average complexity $O(r^3k^3q^{r\lceil \frac{(r+1)(k+1)-(n+1)}{r} \rceil})$. We also consider solving with \grob bases for which which we discuss theoretical complexity, we also consider consider hybrid solving with \grob bases on practical parameters. As an example of application we use our new attacks on all proposed recent cryptosystems which reparation the GPT cryptosystem, we break all examples of published proposed parameters, some parameters are broken in less than 1 s in certain cases.

Includes members:
  Member "ranksign an efficient signature algorithm based on the rank metric":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "improved veron identification and signature schemes in the rank metric")
  Member "on the hardness of the decoding and the minimum distance problems for rank codes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "ranksign an efficient signature algorithm based on the rank metric")
  Member "on the complexity of the generalized minrank problem":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the complexity of minrank")
  Member "a smart approach for gpt cryptosystem based on rank codes":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "interleaving loidreau s rank metric cryptosystem")
  Member "on improving security of gpt cryptosystems":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "interleaving loidreau s rank metric cryptosystem")
  Member "properties of codes in rank metric":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "hamming and simplex codes for the sum rank metric")

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.CR(Cryptography and Security)