Information on Result #687027

Linear OA(858, 32781, F8, 13) (dual of [32781, 32723, 14]-code), using construction XX applied to Ce(12) ⊂ Ce(10) ⊂ Ce(9) based on
  1. linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. 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]
  3. linear OA(841, 32768, F8, 10) (dual of [32768, 32727, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  4. linear OA(81, 12, F8, 1) (dual of [12, 11, 2]-code), using
  5. linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-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(858, 32781, F8, 2, 13) (dual of [(32781, 2), 65504, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(858, 32781, F8, 3, 13) (dual of [(32781, 3), 98285, 14]-NRT-code) [i]
3Digital (45, 58, 32781)-net over F8 [i]
4Linear OOA(858, 16390, F8, 2, 13) (dual of [(16390, 2), 32722, 14]-NRT-code) [i]OOA Folding
5Linear OOA(858, 10927, F8, 3, 13) (dual of [(10927, 3), 32723, 14]-NRT-code) [i]