Information on Result #700035

Linear OA(12827, 16398, F128, 12) (dual of [16398, 16371, 13]-code), using construction X applied to Ce(11) ⊂ Ce(6) based on
  1. linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(12813, 16384, F128, 7) (dual of [16384, 16371, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(1284, 14, F128, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,128)), 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(6432, 16398, S64, 12) [i]Discarding Parts of the Base for OAs
2Linear OOA(12827, 10734, F128, 2, 12) (dual of [(10734, 2), 21441, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12827, 10734, F128, 3, 12) (dual of [(10734, 3), 32175, 13]-NRT-code) [i]
4Linear OOA(12827, 10734, F128, 4, 12) (dual of [(10734, 4), 42909, 13]-NRT-code) [i]
5Digital (15, 27, 10734)-net over F128 [i]
6Linear OOA(12827, 8199, F128, 2, 12) (dual of [(8199, 2), 16371, 13]-NRT-code) [i]OOA Folding
7Linear OOA(12827, 5466, F128, 3, 12) (dual of [(5466, 3), 16371, 13]-NRT-code) [i]
8Linear OOA(12827, 4099, F128, 4, 12) (dual of [(4099, 4), 16369, 13]-NRT-code) [i]
9Linear OOA(12827, 2733, F128, 12, 12) (dual of [(2733, 12), 32769, 13]-NRT-code) [i]OA Folding and Stacking