Information on Result #686499

Linear OA(8154, 262165, F8, 29) (dual of [262165, 262011, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
  1. linear OA(8151, 262144, F8, 29) (dual of [262144, 261993, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(83, 21, F8, 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(8154, 204543, F8, 2, 29) (dual of [(204543, 2), 408932, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8154, 204543, F8, 3, 29) (dual of [(204543, 3), 613475, 30]-NRT-code) [i]
3Digital (125, 154, 204543)-net over F8 [i]
4Linear OOA(8154, 131082, F8, 2, 29) (dual of [(131082, 2), 262010, 30]-NRT-code) [i]OOA Folding
5Linear OOA(8154, 87388, F8, 3, 29) (dual of [(87388, 3), 262010, 30]-NRT-code) [i]
6Linear OOA(8154, 18726, F8, 29, 29) (dual of [(18726, 29), 542900, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row