Information on Result #702072

Linear OA(2240, 285, F2, 95) (dual of [285, 45, 96]-code), using construction XX applied to C1 = C([251,86]), C2 = C([1,90]), C3 = C1 + C2 = C([1,86]), and C∩ = C1 ∩ C2 = C([251,90]) based on
  1. linear OA(2219, 255, F2, 91) (dual of [255, 36, 92]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−4,−3,…,86}, and designed minimum distance d ≥ |I|+1 = 92 [i]
  2. linear OA(2218, 255, F2, 90) (dual of [255, 37, 91]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,90], and designed minimum distance d ≥ |I|+1 = 91 [i]
  3. linear OA(2227, 255, F2, 95) (dual of [255, 28, 96]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−4,−3,…,90}, and designed minimum distance d ≥ |I|+1 = 96 [i]
  4. linear OA(2210, 255, F2, 86) (dual of [255, 45, 87]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87 [i]
  5. linear OA(28, 17, F2, 4) (dual of [17, 9, 5]-code), using
  6. linear OA(25, 13, F2, 3) (dual of [13, 8, 4]-code or 13-cap in PG(4,2)), 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(2240, 285, F2, 94) (dual of [285, 45, 95]-code) [i]Strength Reduction
2Linear OA(2239, 284, F2, 94) (dual of [284, 45, 95]-code) [i]Truncation
3Linear OOA(2240, 95, F2, 3, 95) (dual of [(95, 3), 45, 96]-NRT-code) [i]OOA Folding
4Linear OOA(2240, 57, F2, 5, 95) (dual of [(57, 5), 45, 96]-NRT-code) [i]