Information on Result #689737

Linear OA(980, 6576, F9, 22) (dual of [6576, 6496, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) based on
  1. linear OA(977, 6561, F9, 22) (dual of [6561, 6484, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(965, 6561, F9, 19) (dual of [6561, 6496, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(93, 15, F9, 2) (dual of [15, 12, 3]-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(981, 6577, F9, 22) (dual of [6577, 6496, 23]-code) [i]Code Embedding in Larger Space
2Linear OOA(980, 6091, F9, 2, 22) (dual of [(6091, 2), 12102, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(980, 6091, F9, 3, 22) (dual of [(6091, 3), 18193, 23]-NRT-code) [i]
4Digital (58, 80, 6091)-net over F9 [i]
5Linear OA(981, 6578, F9, 22) (dual of [6578, 6497, 23]-code) [i]Construction X with VarÅ¡amov Bound
6Linear OOA(980, 3288, F9, 2, 22) (dual of [(3288, 2), 6496, 23]-NRT-code) [i]OOA Folding
7Linear OOA(980, 2192, F9, 3, 22) (dual of [(2192, 3), 6496, 23]-NRT-code) [i]