Information on Result #702096

Linear OA(2251, 295, F2, 97) (dual of [295, 44, 98]-code), using construction XX applied to C1 = C([247,86]), C2 = C([0,90]), C3 = C1 + C2 = C([0,86]), and C∩ = C1 ∩ C2 = C([247,90]) based on
  1. 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 = {−8,−7,…,86}, and designed minimum distance d ≥ |I|+1 = 96 [i]
  2. linear OA(2219, 255, F2, 91) (dual of [255, 36, 92]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,90], and designed minimum distance d ≥ |I|+1 = 92 [i]
  3. linear OA(2235, 255, F2, 99) (dual of [255, 20, 100]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−8,−7,…,90}, and designed minimum distance d ≥ |I|+1 = 100 [i]
  4. linear OA(2211, 255, F2, 87) (dual of [255, 44, 88]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,86], and designed minimum distance d ≥ |I|+1 = 88 [i]
  5. linear OA(211, 27, F2, 5) (dual of [27, 16, 6]-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(2250, 294, F2, 96) (dual of [294, 44, 97]-code) [i]Truncation
2Linear OOA(2251, 147, F2, 2, 97) (dual of [(147, 2), 43, 98]-NRT-code) [i]OOA Folding
3Linear OOA(2251, 98, F2, 3, 97) (dual of [(98, 3), 43, 98]-NRT-code) [i]
4Linear OOA(2251, 59, F2, 5, 97) (dual of [(59, 5), 44, 98]-NRT-code) [i]