Information on Result #699875

Linear OA(12874, 16414, F128, 33) (dual of [16414, 16340, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,11]) based on
  1. linear OA(12865, 16385, F128, 33) (dual of [16385, 16320, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [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(6487, 16414, S64, 33) [i]Discarding Parts of the Base for OAs
2Linear OOA(12874, 8947, F128, 2, 33) (dual of [(8947, 2), 17820, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(12874, 8947, F128, 3, 33) (dual of [(8947, 3), 26767, 34]-NRT-code) [i]
4Linear OOA(12874, 8947, F128, 4, 33) (dual of [(8947, 4), 35714, 34]-NRT-code) [i]
5Digital (41, 74, 8947)-net over F128 [i]
6Linear OOA(12874, 8207, F128, 2, 33) (dual of [(8207, 2), 16340, 34]-NRT-code) [i]OOA Folding
7Linear OOA(12874, 5471, F128, 3, 33) (dual of [(5471, 3), 16339, 34]-NRT-code) [i]
8Linear OOA(12874, 4103, F128, 4, 33) (dual of [(4103, 4), 16338, 34]-NRT-code) [i]