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 "proof of a conjecture of klove on permutation codes under the chebychev distance"):
  Abstract: Let d be a positive integer and x a real number. Let $$A_{d, x}$$Ad,x be a $$d\times 2d$$d×2d matrix with its entries $$\begin{aligned} a_{i,j}=\left\{ \begin{array}{ll} x\ \ &{} \quad \text{ for } \ 1\leqslant j\leqslant d+1-i,\\ 1\ \ &{} \quad \text{ for } \ d+2-i\leqslant j\leqslant d+i,\\ 0\ \ &{} \quad \text{ for } \ d+1+i\leqslant j\leqslant 2d. \end{array} \right. \end{aligned}$$ai,j=xfor1źjźd+1-i,1ford+2-iźjźd+i,0ford+1+iźjź2d.Further, let $$R_d$$Rd be a set of sequences of integers as follows: $$\begin{aligned} R_d=\left\{ (\rho _1, \rho _2,\ldots , \rho _d)|1\leqslant \rho _i\leqslant d+i, 1\leqslant i \leqslant d,\ \text{ and }\ \rho _r\ne \rho _s\ \quad \text{ for }\ r\ne s\right\} . \end{aligned}$$Rd=(ź1,ź2,ź,źd)|1źźiźd+i,1źiźd,andźrźźsforrźs.and define $$\begin{aligned} \Omega _d(x)=\sum _{\rho \in R_d}a_{1,\rho _1}a_{2, \rho _2}\ldots a_{d,\rho _d}. \end{aligned}$$Ωd(x)=źźźRda1,ź1a2,ź2źad,źd.In order to give a better bound on the size of spheres of permutation codes under the Chebychev distance, KlOve introduced the above function and conjectured that $$\begin{aligned} \Omega _d(x)=\sum _{m=0}^d{d\atopwithdelims ()m}(m+1)^d(x-1)^{d-m}. \end{aligned}$$Ωd(x)=źm=0ddm(m+1)d(x-1)d-m.In this paper, we settle down this conjecture positively.

Includes members:
  Member "error correction in flash memories via codes in the ulam metric":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "optimal constant weight codes under l_1 metric")
  Member "codes in permutations and error correction for rank modulation":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "optimal constant weight codes under l_1 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.IT(Information Theory)