Information on Result #801585

Linear OA(2234, 131120, F2, 27) (dual of [131120, 130886, 28]-code), using construction X applied to Ce(26) ⊂ Ce(20) 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(2171, 131072, F2, 21) (dual of [131072, 130901, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-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(2233, 131119, F2, 26) (dual of [131119, 130886, 27]-code) [i]Truncation
2Linear OOA(2234, 65560, F2, 2, 27) (dual of [(65560, 2), 130886, 28]-NRT-code) [i]OOA Folding
3Linear OOA(2234, 32780, F2, 4, 27) (dual of [(32780, 4), 130886, 28]-NRT-code) [i]
4Linear OOA(2234, 26224, F2, 5, 27) (dual of [(26224, 5), 130886, 28]-NRT-code) [i]
5Linear OOA(2234, 21853, F2, 6, 27) (dual of [(21853, 6), 130884, 28]-NRT-code) [i]
6Linear OOA(2234, 16390, F2, 8, 27) (dual of [(16390, 8), 130886, 28]-NRT-code) [i]
7Linear OOA(2234, 10086, F2, 27, 27) (dual of [(10086, 27), 272088, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row