Information on Result #672475

Linear OA(2228, 131104, F2, 27) (dual of [131104, 130876, 28]-code), using construction X applied to Ce(26) ⊂ Ce(22) based on
  1. linear OA(2222, 131072, F2, 27) (dual of [131072, 130850, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(2188, 131072, F2, 23) (dual of [131072, 130884, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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
1Linear OA(2227, 131103, F2, 26) (dual of [131103, 130876, 27]-code) [i]Truncation
2Linear OOA(2228, 65552, F2, 2, 27) (dual of [(65552, 2), 130876, 28]-NRT-code) [i]OOA Folding
3Linear OOA(2228, 43701, F2, 3, 27) (dual of [(43701, 3), 130875, 28]-NRT-code) [i]
4Linear OOA(2228, 32776, F2, 4, 27) (dual of [(32776, 4), 130876, 28]-NRT-code) [i]
5Linear OOA(2228, 26220, F2, 5, 27) (dual of [(26220, 5), 130872, 28]-NRT-code) [i]
6Linear OOA(2228, 21850, F2, 6, 27) (dual of [(21850, 6), 130872, 28]-NRT-code) [i]
7Linear OOA(2228, 18729, F2, 7, 27) (dual of [(18729, 7), 130875, 28]-NRT-code) [i]
8Linear OOA(2228, 16388, F2, 8, 27) (dual of [(16388, 8), 130876, 28]-NRT-code) [i]