Information on Result #689460

Linear OA(993, 59081, F9, 20) (dual of [59081, 58988, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) based on
  1. linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  2. linear OA(961, 59049, F9, 14) (dual of [59049, 58988, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(97, 32, F9, 5) (dual of [32, 25, 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(994, 59082, F9, 20) (dual of [59082, 58988, 21]-code) [i]Code Embedding in Larger Space
2Linear OA(995, 59083, F9, 20) (dual of [59083, 58988, 21]-code) [i]
3Linear OOA(993, 59081, F9, 2, 20) (dual of [(59081, 2), 118069, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(993, 59081, F9, 3, 20) (dual of [(59081, 3), 177150, 21]-NRT-code) [i]
5Digital (73, 93, 59081)-net over F9 [i]
6Linear OA(994, 59083, F9, 20) (dual of [59083, 58989, 21]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(995, 59085, F9, 20) (dual of [59085, 58990, 21]-code) [i]
8Linear OOA(993, 29540, F9, 2, 20) (dual of [(29540, 2), 58987, 21]-NRT-code) [i]OOA Folding
9Linear OOA(993, 19693, F9, 3, 20) (dual of [(19693, 3), 58986, 21]-NRT-code) [i]
10Linear OOA(993, 5908, F9, 20, 20) (dual of [(5908, 20), 118067, 21]-NRT-code) [i]OA Folding and Stacking