Information on Result #686874

Linear OA(8118, 32800, F8, 26) (dual of [32800, 32682, 27]-code), using construction X applied to Ce(25) ⊂ Ce(19) based on
  1. linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(886, 32768, F8, 20) (dual of [32768, 32682, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-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 OA(8119, 32801, F8, 26) (dual of [32801, 32682, 27]-code) [i]Code Embedding in Larger Space
2Linear OA(8120, 32802, F8, 26) (dual of [32802, 32682, 27]-code) [i]
3Linear OOA(8118, 32800, F8, 2, 26) (dual of [(32800, 2), 65482, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(8118, 32800, F8, 3, 26) (dual of [(32800, 3), 98282, 27]-NRT-code) [i]
5Digital (92, 118, 32800)-net over F8 [i]
6Linear OA(8119, 32802, F8, 26) (dual of [32802, 32683, 27]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(8120, 32804, F8, 26) (dual of [32804, 32684, 27]-code) [i]
8Linear OOA(8118, 16400, F8, 2, 26) (dual of [(16400, 2), 32682, 27]-NRT-code) [i]OOA Folding
9Linear OOA(8118, 10933, F8, 3, 26) (dual of [(10933, 3), 32681, 27]-NRT-code) [i]
10Linear OOA(8118, 2523, F8, 26, 26) (dual of [(2523, 26), 65480, 27]-NRT-code) [i]OA Folding and Stacking