Information on Result #700107

Linear OA(12860, 16413, F128, 26) (dual of [16413, 16353, 27]-code), using construction X applied to Ce(25) ⊂ Ce(15) based on
  1. linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(1289, 29, F128, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,128)), 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
1OA(6470, 16413, S64, 26) [i]Discarding Parts of the Base for OAs
2Linear OOA(12860, 11678, F128, 2, 26) (dual of [(11678, 2), 23296, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12860, 11678, F128, 3, 26) (dual of [(11678, 3), 34974, 27]-NRT-code) [i]
4Linear OOA(12860, 11678, F128, 4, 26) (dual of [(11678, 4), 46652, 27]-NRT-code) [i]
5Digital (34, 60, 11678)-net over F128 [i]
6Linear OOA(12860, 8206, F128, 2, 26) (dual of [(8206, 2), 16352, 27]-NRT-code) [i]OOA Folding
7Linear OOA(12860, 5471, F128, 3, 26) (dual of [(5471, 3), 16353, 27]-NRT-code) [i]
8Linear OOA(12860, 4103, F128, 4, 26) (dual of [(4103, 4), 16352, 27]-NRT-code) [i]