Information on Result #702094

Linear OA(2256, 302, F2, 97) (dual of [302, 46, 98]-code), using construction XX applied to C1 = C([247,84]), C2 = C([0,90]), C3 = C1 + C2 = C([0,84]), and C∩ = C1 ∩ C2 = C([247,90]) based on
  1. linear OA(2225, 255, F2, 93) (dual of [255, 30, 94]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−8,−7,…,84}, and designed minimum distance d ≥ |I|+1 = 94 [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(2209, 255, F2, 85) (dual of [255, 46, 86]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,84], and designed minimum distance d ≥ |I|+1 = 86 [i]
  5. linear OA(211, 27, F2, 5) (dual of [27, 16, 6]-code), using
  6. linear OA(210, 20, F2, 5) (dual of [20, 10, 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(2255, 301, F2, 96) (dual of [301, 46, 97]-code) [i]Truncation
2Linear OOA(2256, 151, F2, 2, 97) (dual of [(151, 2), 46, 98]-NRT-code) [i]OOA Folding