Information on Result #699169

Linear OA(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(8140, 531444, F81, 14) (dual of [531444, 531404, 15]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(8137, 531444, F81, 13) (dual of [531444, 531407, 14]-code) [i]✔
3Linear OA(8148, 531452, F81, 16) (dual of [531452, 531404, 17]-code) [i]✔
4Linear OA(8139, 531452, F81, 13) (dual of [531452, 531413, 14]-code) [i]✔
5Linear OA(8156, 531460, F81, 18) (dual of [531460, 531404, 19]-code) [i]✔
6Linear OA(8141, 531460, F81, 13) (dual of [531460, 531419, 14]-code) [i]✔
7Linear OA(8164, 531468, F81, 20) (dual of [531468, 531404, 21]-code) [i]✔
8Linear OA(8172, 531476, F81, 22) (dual of [531476, 531404, 23]-code) [i]✔
9Linear OA(8180, 531484, F81, 24) (dual of [531484, 531404, 25]-code) [i]✔
10Linear OOA(8137, 88573, F81, 13, 13) (dual of [(88573, 13), 1151412, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row