Information on Result #609929

Linear OA(719, 22, F7, 17) (dual of [22, 3, 18]-code), using a projective code based on a Barlotti arc

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(719, 22, F7, 16) (dual of [22, 3, 17]-code) [i]Strength Reduction
2Linear OA(718, 21, F7, 16) (dual of [21, 3, 17]-code) [i]Truncation
3Linear OA(717, 20, F7, 15) (dual of [20, 3, 16]-code) [i]
4Linear OA(716, 19, F7, 14) (dual of [19, 3, 15]-code) [i]
5Linear OA(715, 18, F7, 13) (dual of [18, 3, 14]-code) [i]
6Linear OA(714, 17, F7, 12) (dual of [17, 3, 13]-code) [i]
7Linear OA(7109, 364, F7, 35) (dual of [364, 255, 36]-code) [i](u, u+v)-Construction
8Linear OA(7110, 366, F7, 35) (dual of [366, 256, 36]-code) [i]
9Linear OA(7107, 365, F7, 34) (dual of [365, 258, 35]-code) [i]
10Linear OOA(719, 11, F7, 2, 17) (dual of [(11, 2), 3, 18]-NRT-code) [i]OOA Folding