Information on Result #700049

Linear OA(12832, 16401, F128, 14) (dual of [16401, 16369, 15]-code), using construction X applied to Ce(13) ⊂ Ce(7) based on
  1. 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]
  2. linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(1285, 17, F128, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,128)), 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(6438, 16401, S64, 14) [i]Discarding Parts of the Base for OAs
2Linear OOA(12832, 11561, F128, 2, 14) (dual of [(11561, 2), 23090, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12832, 11561, F128, 3, 14) (dual of [(11561, 3), 34651, 15]-NRT-code) [i]
4Linear OOA(12832, 11561, F128, 4, 14) (dual of [(11561, 4), 46212, 15]-NRT-code) [i]
5Digital (18, 32, 11561)-net over F128 [i]
6Linear OOA(12832, 8200, F128, 2, 14) (dual of [(8200, 2), 16368, 15]-NRT-code) [i]OOA Folding
7Linear OOA(12832, 5467, F128, 3, 14) (dual of [(5467, 3), 16369, 15]-NRT-code) [i]
8Linear OOA(12832, 4100, F128, 4, 14) (dual of [(4100, 4), 16368, 15]-NRT-code) [i]
9Linear OOA(12832, 2343, F128, 14, 14) (dual of [(2343, 14), 32770, 15]-NRT-code) [i]OA Folding and Stacking