Information on Result #736813

Linear OA(2151, 280, F2, 43) (dual of [280, 129, 44]-code), using construction X applied to Ce(42) ⊂ Ce(36) based on
  1. linear OA(2141, 256, F2, 43) (dual of [256, 115, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(2125, 256, F2, 37) (dual of [256, 131, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(210, 24, F2, 5) (dual of [24, 14, 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(2150, 279, F2, 42) (dual of [279, 129, 43]-code) [i]Truncation
2Linear OOA(2151, 140, F2, 2, 43) (dual of [(140, 2), 129, 44]-NRT-code) [i]OOA Folding
3Linear OOA(2151, 93, F2, 3, 43) (dual of [(93, 3), 128, 44]-NRT-code) [i]
4Linear OOA(2151, 56, F2, 5, 43) (dual of [(56, 5), 129, 44]-NRT-code) [i]