Information on Result #686602

Linear OA(8138, 262168, F8, 26) (dual of [262168, 262030, 27]-code), using construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(20) based on
  1. 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]
  2. linear OA(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  4. linear OA(84, 23, F8, 3) (dual of [23, 19, 4]-code or 23-cap in PG(3,8)), using
  5. linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-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(8138, 200158, F8, 2, 26) (dual of [(200158, 2), 400178, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(8138, 200158, F8, 3, 26) (dual of [(200158, 3), 600336, 27]-NRT-code) [i]
3Digital (112, 138, 200158)-net over F8 [i]
4Linear OOA(8138, 131084, F8, 2, 26) (dual of [(131084, 2), 262030, 27]-NRT-code) [i]OOA Folding
5Linear OOA(8138, 87389, F8, 3, 26) (dual of [(87389, 3), 262029, 27]-NRT-code) [i]