Information on Result #686297

Linear OA(895, 2097176, F8, 15) (dual of [2097176, 2097081, 16]-code), using construction X applied to Ce(14) ⊂ Ce(11) based on
  1. linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(895, 2097176, F8, 2, 15) (dual of [(2097176, 2), 4194257, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(895, 2097176, F8, 3, 15) (dual of [(2097176, 3), 6291433, 16]-NRT-code) [i]
3Digital (80, 95, 2097176)-net over F8 [i]
4Linear OOA(895, 1048588, F8, 2, 15) (dual of [(1048588, 2), 2097081, 16]-NRT-code) [i]OOA Folding
5Linear OOA(895, 699058, F8, 3, 15) (dual of [(699058, 3), 2097079, 16]-NRT-code) [i]
6Linear OOA(895, 299596, F8, 15, 15) (dual of [(299596, 15), 4493845, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row