Information on Result #628714

Linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using trace code based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(915, 12963, F9, 5) (dual of [12963, 12948, 6]-code) [i]Code Embedding in Larger Space
2Linear OA(913, 12961, F9, 4) (dual of [12961, 12948, 5]-code) [i]Truncation
3Linear OA(327, 12962, F3, 5) (dual of [12962, 12935, 6]-code) [i]Base Reduction for Projective Spaces
4Linear OA(916, 12972, F9, 5) (dual of [12972, 12956, 6]-code) [i](u, u+v)-Construction
5Linear OA(917, 13053, F9, 5) (dual of [13053, 13036, 6]-code) [i]
6Linear OA(918, 13782, F9, 5) (dual of [13782, 13764, 6]-code) [i]
7Linear OA(919, 20343, F9, 5) (dual of [20343, 20324, 6]-code) [i]
8Linear OA(920, 13690, F9, 5) (dual of [13690, 13670, 6]-code) [i]Generalized (u, u+v)-Construction
9Linear OA(922, 72010, F9, 5) (dual of [72010, 71988, 6]-code) [i]
10Linear OA(923, 116658, F9, 5) (dual of [116658, 116635, 6]-code) [i]
11Linear OA(919, 13235, F9, 5) (dual of [13235, 13216, 6]-code) [i]
12Linear OA(917, 12982, F9, 5) (dual of [12982, 12965, 6]-code) [i](u, u−v, u+v+w)-Construction
13Linear OA(918, 13144, F9, 5) (dual of [13144, 13126, 6]-code) [i]
14Linear OA(920, 27724, F9, 5) (dual of [27724, 27704, 6]-code) [i]
15Linear OOA(914, 6481, F9, 2, 5) (dual of [(6481, 2), 12948, 6]-NRT-code) [i]OOA Folding
16Linear OOA(914, 6480, F9, 3, 5) (dual of [(6480, 3), 19426, 6]-NRT-code) [i]OOA Folding and Stacking with Additional Row
17Linear OOA(914, 6480, F9, 5, 5) (dual of [(6480, 5), 32386, 6]-NRT-code) [i]