Information on Result #686299

Linear OA(881, 2097176, F8, 13) (dual of [2097176, 2097095, 14]-code), using construction X applied to Ce(12) ⊂ Ce(9) based on
  1. linear OA(878, 2097152, F8, 13) (dual of [2097152, 2097074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(857, 2097152, F8, 10) (dual of [2097152, 2097095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(881, 2097176, F8, 2, 13) (dual of [(2097176, 2), 4194271, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(881, 2097176, F8, 3, 13) (dual of [(2097176, 3), 6291447, 14]-NRT-code) [i]
3Digital (68, 81, 2097176)-net over F8 [i]
4Linear OOA(881, 1048588, F8, 2, 13) (dual of [(1048588, 2), 2097095, 14]-NRT-code) [i]OOA Folding
5Linear OOA(881, 699058, F8, 3, 13) (dual of [(699058, 3), 2097093, 14]-NRT-code) [i]
6Linear OOA(881, 349529, F8, 13, 13) (dual of [(349529, 13), 4543796, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row