Information on Result #702063

Linear OA(2260, 307, F2, 97) (dual of [307, 47, 98]-code), using construction XX applied to C1 = C([161,254]), C2 = C([171,4]), C3 = C1 + C2 = C([171,254]), and C∩ = C1 ∩ C2 = C([161,4]) based on
  1. linear OA(2226, 255, F2, 94) (dual of [255, 29, 95]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−94,−93,…,−1}, and designed minimum distance d ≥ |I|+1 = 95 [i]
  2. linear OA(2217, 255, F2, 89) (dual of [255, 38, 90]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,4}, and designed minimum distance d ≥ |I|+1 = 90 [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 = {−94,−93,…,4}, and designed minimum distance d ≥ |I|+1 = 100 [i]
  4. linear OA(2208, 255, F2, 84) (dual of [255, 47, 85]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−84,−83,…,−1}, and designed minimum distance d ≥ |I|+1 = 85 [i]
  5. linear OA(217, 35, F2, 7) (dual of [35, 18, 8]-code), using
  6. linear OA(28, 17, F2, 4) (dual of [17, 9, 5]-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(2260, 307, F2, 96) (dual of [307, 47, 97]-code) [i]Strength Reduction
2Linear OA(2259, 306, F2, 96) (dual of [306, 47, 97]-code) [i]Truncation