Information on Result #672549

Linear OA(2151, 65568, F2, 19) (dual of [65568, 65417, 20]-code), using construction X applied to Ce(18) ⊂ Ce(14) based on
  1. linear OA(2145, 65536, F2, 19) (dual of [65536, 65391, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(2113, 65536, F2, 15) (dual of [65536, 65423, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(2150, 65567, F2, 18) (dual of [65567, 65417, 19]-code) [i]Truncation
2Linear OOA(2151, 32784, F2, 2, 19) (dual of [(32784, 2), 65417, 20]-NRT-code) [i]OOA Folding
3Linear OOA(2151, 21856, F2, 3, 19) (dual of [(21856, 3), 65417, 20]-NRT-code) [i]
4Linear OOA(2151, 16392, F2, 4, 19) (dual of [(16392, 4), 65417, 20]-NRT-code) [i]
5Linear OOA(2151, 13113, F2, 5, 19) (dual of [(13113, 5), 65414, 20]-NRT-code) [i]
6Linear OOA(2151, 10928, F2, 6, 19) (dual of [(10928, 6), 65417, 20]-NRT-code) [i]
7Linear OOA(2151, 9366, F2, 7, 19) (dual of [(9366, 7), 65411, 20]-NRT-code) [i]
8Linear OOA(2151, 8196, F2, 8, 19) (dual of [(8196, 8), 65417, 20]-NRT-code) [i]
9Linear OOA(2151, 7285, F2, 19, 19) (dual of [(7285, 19), 138264, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row