Information on Result #689461

Linear OA(988, 59081, F9, 19) (dual of [59081, 58993, 20]-code), using construction X applied to Ce(18) ⊂ Ce(12) based on
  1. linear OA(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(956, 59049, F9, 13) (dual of [59049, 58993, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(989, 59082, F9, 19) (dual of [59082, 58993, 20]-code) [i]Code Embedding in Larger Space
2Linear OA(990, 59083, F9, 19) (dual of [59083, 58993, 20]-code) [i]
3Linear OA(987, 59080, F9, 18) (dual of [59080, 58993, 19]-code) [i]Truncation
4Linear OOA(988, 59081, F9, 2, 19) (dual of [(59081, 2), 118074, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(988, 59081, F9, 3, 19) (dual of [(59081, 3), 177155, 20]-NRT-code) [i]
6Digital (69, 88, 59081)-net over F9 [i]
7Linear OA(989, 59083, F9, 19) (dual of [59083, 58994, 20]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OA(990, 59085, F9, 19) (dual of [59085, 58995, 20]-code) [i]
9Linear OOA(988, 29540, F9, 2, 19) (dual of [(29540, 2), 58992, 20]-NRT-code) [i]OOA Folding
10Linear OOA(988, 19693, F9, 3, 19) (dual of [(19693, 3), 58991, 20]-NRT-code) [i]