Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Number of Optimal Index Codes   In Index coding there is a single sender with multiple messages and multiple
receivers each wanting a different set of messages and knowing a different set
of messages a priori. The Index Coding problem is to identify the minimum
number of transmissions (optimal length) to be made so that all receivers can
decode their wanted messages using the transmitted symbols and their respective
prior information and also the codes with optimal length. Recently it was shown
that different optimal length codes perform differently in a wireless channel.
Towards identifying the best optimal length index code one needs to know the
number of optimal length index codes. In this paper we present results on the
number of optimal length index codes making use of the representation of an
index coding problem by an equivalent network code. We give the minimum number
of codes possible with the optimal length. This is done using a simpler
algebraic formulation of the problem compared to the approach of Koetter and
Medard.

18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci