Information on Result #672455

Linear OA(2155, 131090, F2, 19) (dual of [131090, 130935, 20]-code), using construction X applied to Ce(18) ⊂ Ce(16) based on
  1. linear OA(2154, 131072, F2, 19) (dual of [131072, 130918, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(2137, 131072, F2, 17) (dual of [131072, 130935, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(21, 18, F2, 1) (dual of [18, 17, 2]-code), 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(2154, 131089, F2, 18) (dual of [131089, 130935, 19]-code) [i]Truncation
2Linear OOA(2155, 65545, F2, 2, 19) (dual of [(65545, 2), 130935, 20]-NRT-code) [i]OOA Folding
3Linear OOA(2155, 43696, F2, 3, 19) (dual of [(43696, 3), 130933, 20]-NRT-code) [i]
4Linear OOA(2155, 32772, F2, 4, 19) (dual of [(32772, 4), 130933, 20]-NRT-code) [i]
5Linear OOA(2155, 26218, F2, 5, 19) (dual of [(26218, 5), 130935, 20]-NRT-code) [i]
6Linear OOA(2155, 21848, F2, 6, 19) (dual of [(21848, 6), 130933, 20]-NRT-code) [i]
7Linear OOA(2155, 18727, F2, 7, 19) (dual of [(18727, 7), 130934, 20]-NRT-code) [i]
8Linear OOA(2155, 16386, F2, 8, 19) (dual of [(16386, 8), 130933, 20]-NRT-code) [i]
9Linear OOA(2155, 14565, F2, 19, 19) (dual of [(14565, 19), 276580, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row