Information on Result #672634

Linear OA(2260, 16420, F2, 37) (dual of [16420, 16160, 38]-code), using construction X applied to C([0,18]) ⊂ C([0,16]) based on
  1. linear OA(2253, 16385, F2, 37) (dual of [16385, 16132, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
  2. linear OA(2225, 16385, F2, 33) (dual of [16385, 16160, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  3. linear OA(27, 35, F2, 3) (dual of [35, 28, 4]-code or 35-cap in PG(6,2)), 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(2260, 16420, F2, 36) (dual of [16420, 16160, 37]-code) [i]Strength Reduction
2Linear OA(2259, 16419, F2, 36) (dual of [16419, 16160, 37]-code) [i]Truncation
3Linear OOA(2260, 8210, F2, 2, 37) (dual of [(8210, 2), 16160, 38]-NRT-code) [i]OOA Folding
4Linear OOA(2260, 5473, F2, 3, 37) (dual of [(5473, 3), 16159, 38]-NRT-code) [i]
5Linear OOA(2260, 4105, F2, 4, 37) (dual of [(4105, 4), 16160, 38]-NRT-code) [i]
6Linear OOA(2260, 3284, F2, 5, 37) (dual of [(3284, 5), 16160, 38]-NRT-code) [i]