Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fundamental Limits of Coded Caching: The Memory Rate Pair (K-1-1/K,
  1/(K-1))   Maddah-Ali and Niesen, in a seminal paper, introduced the notion of coded
caching. The exact nature of the fundamental limits in this context has
remained elusive even as several approximate characterizations have been found.
A new optimal scheme for the (3, 3) cache network, operating at the memory rate
pair (5/3, 1/2) for the demand where all the users request for distinct files,
was introduced recently to partially address this issue. In this paper, an
extension of this scheme to the general (K, K) cache network, operating at the
memory rate pair (K-1-1/K, 1/(K-1)), is proposed. A new lower bound is also
derived which demonstrates the optimality of the proposed scheme for the demand
where all the users request for distinct files.

22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc