Information on Result #700109

Linear OA(12852, 16413, F128, 22) (dual of [16413, 16361, 23]-code), using construction X applied to Ce(21) ⊂ Ce(11) based on
  1. linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. 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]
  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(6461, 16413, S64, 22) [i]Discarding Parts of the Base for OAs
2Linear OOA(12852, 15439, F128, 2, 22) (dual of [(15439, 2), 30826, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12852, 15439, F128, 3, 22) (dual of [(15439, 3), 46265, 23]-NRT-code) [i]
4Linear OOA(12852, 15439, F128, 4, 22) (dual of [(15439, 4), 61704, 23]-NRT-code) [i]
5Digital (30, 52, 15439)-net over F128 [i]
6Linear OOA(12852, 8206, F128, 2, 22) (dual of [(8206, 2), 16360, 23]-NRT-code) [i]OOA Folding
7Linear OOA(12852, 5471, F128, 3, 22) (dual of [(5471, 3), 16361, 23]-NRT-code) [i]
8Linear OOA(12852, 4103, F128, 4, 22) (dual of [(4103, 4), 16360, 23]-NRT-code) [i]
9Linear OOA(12852, 1492, F128, 22, 22) (dual of [(1492, 22), 32772, 23]-NRT-code) [i]OA Folding and Stacking