Information on Result #737813

Linear OA(891, 32807, F8, 19) (dual of [32807, 32716, 20]-code), using construction X applied to Ce(18) ⊂ Ce(11) based on
  1. linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(851, 32768, F8, 12) (dual of [32768, 32717, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(810, 39, F8, 6) (dual of [39, 29, 7]-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(891, 16403, F8, 2, 19) (dual of [(16403, 2), 32715, 20]-NRT-code) [i]OOA Folding
2Linear OOA(891, 10935, F8, 3, 19) (dual of [(10935, 3), 32714, 20]-NRT-code) [i]
3Linear OOA(891, 3645, F8, 19, 19) (dual of [(3645, 19), 69164, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row