Information on Result #700108

Linear OA(12856, 16413, F128, 24) (dual of [16413, 16357, 25]-code), using construction X applied to Ce(23) ⊂ Ce(13) based on
  1. linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(6466, 16413, S64, 24) [i]Discarding Parts of the Base for OAs
2Linear OOA(12856, 13205, F128, 2, 24) (dual of [(13205, 2), 26354, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12856, 13205, F128, 3, 24) (dual of [(13205, 3), 39559, 25]-NRT-code) [i]
4Linear OOA(12856, 13205, F128, 4, 24) (dual of [(13205, 4), 52764, 25]-NRT-code) [i]
5Digital (32, 56, 13205)-net over F128 [i]
6Linear OOA(12856, 8206, F128, 2, 24) (dual of [(8206, 2), 16356, 25]-NRT-code) [i]OOA Folding
7Linear OOA(12856, 5471, F128, 3, 24) (dual of [(5471, 3), 16357, 25]-NRT-code) [i]
8Linear OOA(12856, 4103, F128, 4, 24) (dual of [(4103, 4), 16356, 25]-NRT-code) [i]