Information on Result #686873

Linear OA(8123, 32800, F8, 27) (dual of [32800, 32677, 28]-code), using construction X applied to Ce(26) ⊂ Ce(20) based on
  1. linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(8124, 32801, F8, 27) (dual of [32801, 32677, 28]-code) [i]Code Embedding in Larger Space
2Linear OA(8125, 32802, F8, 27) (dual of [32802, 32677, 28]-code) [i]
3Linear OOA(8123, 32800, F8, 2, 27) (dual of [(32800, 2), 65477, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(8123, 32800, F8, 3, 27) (dual of [(32800, 3), 98277, 28]-NRT-code) [i]
5Digital (96, 123, 32800)-net over F8 [i]
6Linear OA(8124, 32802, F8, 27) (dual of [32802, 32678, 28]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OOA(8123, 16400, F8, 2, 27) (dual of [(16400, 2), 32677, 28]-NRT-code) [i]OOA Folding
8Linear OOA(8123, 10933, F8, 3, 27) (dual of [(10933, 3), 32676, 28]-NRT-code) [i]
9Linear OOA(8123, 2523, F8, 27, 27) (dual of [(2523, 27), 67998, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row