Information on Result #700080

Linear OA(12854, 16407, F128, 24) (dual of [16407, 16353, 25]-code), using construction X applied to Ce(23) ⊂ Ce(15) 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(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(1287, 23, F128, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,128)), 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(6463, 16407, S64, 24) [i]Discarding Parts of the Base for OAs
2Linear OOA(12854, 8492, F128, 2, 24) (dual of [(8492, 2), 16930, 25]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12854, 8492, F128, 3, 24) (dual of [(8492, 3), 25422, 25]-NRT-code) [i]
4Linear OOA(12854, 8492, F128, 4, 24) (dual of [(8492, 4), 33914, 25]-NRT-code) [i]
5Digital (30, 54, 8492)-net over F128 [i]
6Linear OOA(12854, 8203, F128, 2, 24) (dual of [(8203, 2), 16352, 25]-NRT-code) [i]OOA Folding
7Linear OOA(12854, 5469, F128, 3, 24) (dual of [(5469, 3), 16353, 25]-NRT-code) [i]