Information on Result #689222

Linear OA(9110, 531478, F9, 20) (dual of [531478, 531368, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) based on
  1. linear OA(9103, 531441, F9, 20) (dual of [531441, 531338, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(973, 531441, F9, 14) (dual of [531441, 531368, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(97, 37, F9, 5) (dual of [37, 30, 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(9111, 531479, F9, 20) (dual of [531479, 531368, 21]-code) [i]Code Embedding in Larger Space
2Linear OA(9112, 531480, F9, 20) (dual of [531480, 531368, 21]-code) [i]
3Linear OOA(9110, 531478, F9, 2, 20) (dual of [(531478, 2), 1062846, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(9110, 531478, F9, 3, 20) (dual of [(531478, 3), 1594324, 21]-NRT-code) [i]
5Digital (90, 110, 531478)-net over F9 [i]
6Linear OA(9111, 531480, F9, 20) (dual of [531480, 531369, 21]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(9112, 531482, F9, 20) (dual of [531482, 531370, 21]-code) [i]
8Linear OOA(9110, 265739, F9, 2, 20) (dual of [(265739, 2), 531368, 21]-NRT-code) [i]OOA Folding
9Linear OOA(9110, 177159, F9, 3, 20) (dual of [(177159, 3), 531367, 21]-NRT-code) [i]