Information on Result #686298

Linear OA(888, 2097176, F8, 14) (dual of [2097176, 2097088, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
  1. linear OA(885, 2097152, F8, 14) (dual of [2097152, 2097067, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(83, 24, F8, 2) (dual of [24, 21, 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(888, 2097176, F8, 2, 14) (dual of [(2097176, 2), 4194264, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(888, 2097176, F8, 3, 14) (dual of [(2097176, 3), 6291440, 15]-NRT-code) [i]
3Digital (74, 88, 2097176)-net over F8 [i]
4Linear OOA(888, 1048588, F8, 2, 14) (dual of [(1048588, 2), 2097088, 15]-NRT-code) [i]OOA Folding
5Linear OOA(888, 699058, F8, 3, 14) (dual of [(699058, 3), 2097086, 15]-NRT-code) [i]
6Linear OOA(888, 299596, F8, 14, 14) (dual of [(299596, 14), 4194256, 15]-NRT-code) [i]OA Folding and Stacking