Information on Result #1009179

Linear OOA(2189, 2861736, F2, 3, 13) (dual of [(2861736, 3), 8585019, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(250, 65535, F2, 3, 6) (dual of [(65535, 3), 196555, 7]-NRT-code), using
  2. linear OOA(2139, 2796201, F2, 3, 13) (dual of [(2796201, 3), 8388464, 14]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2189, 2861736, F2, 3, 12) (dual of [(2861736, 3), 8585019, 13]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2190, 2861736, F2, 3, 13) (dual of [(2861736, 3), 8585018, 14]-NRT-code) [i]OOA Duplication
3Linear OOA(2256, 5723472, F2, 3, 13) (dual of [(5723472, 3), 17170160, 14]-NRT-code) [i](u, u+v)-Construction for OOAs
4Linear OOA(2189, 1430868, F2, 6, 13) (dual of [(1430868, 6), 8585019, 14]-NRT-code) [i]OOA Folding