Information on Result #689458

Linear OA(9103, 59081, F9, 22) (dual of [59081, 58978, 23]-code), using construction X applied to Ce(21) ⊂ Ce(15) based on
  1. linear OA(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(9104, 59082, F9, 22) (dual of [59082, 58978, 23]-code) [i]Code Embedding in Larger Space
2Linear OA(9105, 59083, F9, 22) (dual of [59083, 58978, 23]-code) [i]
3Linear OOA(9103, 59081, F9, 2, 22) (dual of [(59081, 2), 118059, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(9103, 59081, F9, 3, 22) (dual of [(59081, 3), 177140, 23]-NRT-code) [i]
5Digital (81, 103, 59081)-net over F9 [i]
6Linear OA(9104, 59083, F9, 22) (dual of [59083, 58979, 23]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OOA(9103, 29540, F9, 2, 22) (dual of [(29540, 2), 58977, 23]-NRT-code) [i]OOA Folding
8Linear OOA(9103, 19693, F9, 3, 22) (dual of [(19693, 3), 58976, 23]-NRT-code) [i]
9Linear OOA(9103, 5371, F9, 22, 22) (dual of [(5371, 22), 118059, 23]-NRT-code) [i]OA Folding and Stacking