Information on Result #689715

Linear OA(950, 6570, F9, 14) (dual of [6570, 6520, 15]-code), using construction X applied to Ce(13) ⊂ Ce(11) based on
  1. linear OA(949, 6561, F9, 14) (dual of [6561, 6512, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(941, 6561, F9, 12) (dual of [6561, 6520, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-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(950, 5203, F9, 2, 14) (dual of [(5203, 2), 10356, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(950, 5203, F9, 3, 14) (dual of [(5203, 3), 15559, 15]-NRT-code) [i]
3Digital (36, 50, 5203)-net over F9 [i]
4Linear OOA(950, 3285, F9, 2, 14) (dual of [(3285, 2), 6520, 15]-NRT-code) [i]OOA Folding
5Linear OOA(950, 2190, F9, 3, 14) (dual of [(2190, 3), 6520, 15]-NRT-code) [i]
6Linear OOA(950, 938, F9, 14, 14) (dual of [(938, 14), 13082, 15]-NRT-code) [i]OA Folding and Stacking