Information on Result #673595

Linear OA(2189, 264, F2, 59) (dual of [264, 75, 60]-code), using construction X applied to Ce(58) ⊂ Ce(54) based on
  1. linear OA(2185, 256, F2, 59) (dual of [256, 71, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
  2. linear OA(2177, 256, F2, 55) (dual of [256, 79, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
  3. linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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(2188, 263, F2, 58) (dual of [263, 75, 59]-code) [i]Truncation
2Linear OOA(2189, 132, F2, 2, 59) (dual of [(132, 2), 75, 60]-NRT-code) [i]OOA Folding
3Linear OOA(2189, 88, F2, 3, 59) (dual of [(88, 3), 75, 60]-NRT-code) [i]