Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three new lengths for cyclic Legendre pairs   There are 20 odd integers v less than 200 for which the existence of Legendre
pairs of length v is undecided. The smallest among them is v=77. We have
constructed Legendre pairs of lengths 91, 93 and 123 reducing the number of
undecided cases to 17.

3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph