Information on Result #689186

Linear OA(9136, 531462, F9, 25) (dual of [531462, 531326, 26]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
  1. linear OA(9133, 531441, F9, 25) (dual of [531441, 531308, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(93, 21, F9, 2) (dual of [21, 18, 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 OOA(9136, 470265, F9, 2, 25) (dual of [(470265, 2), 940394, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9136, 470265, F9, 3, 25) (dual of [(470265, 3), 1410659, 26]-NRT-code) [i]
3Digital (111, 136, 470265)-net over F9 [i]
4Linear OOA(9136, 265731, F9, 2, 25) (dual of [(265731, 2), 531326, 26]-NRT-code) [i]OOA Folding
5Linear OOA(9136, 177154, F9, 3, 25) (dual of [(177154, 3), 531326, 26]-NRT-code) [i]
6Linear OOA(9136, 44288, F9, 25, 25) (dual of [(44288, 25), 1107064, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row