Information on Result #673022

Linear OA(2147, 1051, F2, 29) (dual of [1051, 904, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,12]) based on
  1. linear OA(2141, 1025, F2, 29) (dual of [1025, 884, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
  2. linear OA(2121, 1025, F2, 25) (dual of [1025, 904, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  3. linear OA(26, 26, F2, 3) (dual of [26, 20, 4]-code or 26-cap in PG(5,2)), 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(2146, 1050, F2, 28) (dual of [1050, 904, 29]-code) [i]Truncation
2Linear OOA(2147, 210, F2, 5, 29) (dual of [(210, 5), 903, 30]-NRT-code) [i]OOA Folding
3Linear OOA(2147, 175, F2, 6, 29) (dual of [(175, 6), 903, 30]-NRT-code) [i]
4Linear OOA(2147, 150, F2, 7, 29) (dual of [(150, 7), 903, 30]-NRT-code) [i]