Information on Result #686791

Linear OA(847, 32780, F8, 11) (dual of [32780, 32733, 12]-code), using construction X4 applied to Ce(10) ⊂ Ce(8) based on
  1. linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(811, 12, F8, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,8)), using
  4. linear OA(81, 12, F8, 1) (dual of [12, 11, 2]-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(848, 32781, F8, 11) (dual of [32781, 32733, 12]-code) [i]Code Embedding in Larger Space
2Linear OA(849, 32782, F8, 11) (dual of [32782, 32733, 12]-code) [i]
3Linear OA(854, 32837, F8, 11) (dual of [32837, 32783, 12]-code) [i](u, u+v)-Construction
4Linear OA(849, 32783, F8, 11) (dual of [32783, 32734, 12]-code) [i]Construction X with VarÅ¡amov Bound
5Linear OOA(847, 16390, F8, 2, 11) (dual of [(16390, 2), 32733, 12]-NRT-code) [i]OOA Folding