Information on Result #700118

Linear OA(12863, 16416, F128, 27) (dual of [16416, 16353, 28]-code), using construction X applied to Ce(26) ⊂ Ce(15) based on
  1. linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(12810, 32, F128, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,128)), 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(6474, 16416, S64, 27) [i]Discarding Parts of the Base for OAs
2Linear OOA(12863, 13469, F128, 2, 27) (dual of [(13469, 2), 26875, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12863, 13469, F128, 3, 27) (dual of [(13469, 3), 40344, 28]-NRT-code) [i]
4Linear OOA(12863, 13469, F128, 4, 27) (dual of [(13469, 4), 53813, 28]-NRT-code) [i]
5Digital (36, 63, 13469)-net over F128 [i]
6Linear OOA(12863, 8208, F128, 2, 27) (dual of [(8208, 2), 16353, 28]-NRT-code) [i]OOA Folding
7Linear OOA(12863, 5472, F128, 3, 27) (dual of [(5472, 3), 16353, 28]-NRT-code) [i]
8Linear OOA(12863, 4104, F128, 4, 27) (dual of [(4104, 4), 16353, 28]-NRT-code) [i]