Information on Result #1568328

Linear OOA(2188, 2861736, F2, 3, 13) (dual of [(2861736, 3), 8585020, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(249, 65535, F2, 3, 6) (dual of [(65535, 3), 196556, 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: 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(2188, 2861736, F2, 4, 13) (dual of [(2861736, 4), 11446756, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(2188, 2861736, F2, 5, 13) (dual of [(2861736, 5), 14308492, 14]-NRT-code) [i]
3Linear OOA(2188, 2861736, F2, 6, 13) (dual of [(2861736, 6), 17170228, 14]-NRT-code) [i]
4Linear OOA(2188, 2861736, F2, 7, 13) (dual of [(2861736, 7), 20031964, 14]-NRT-code) [i]
5Linear OOA(2188, 2861736, F2, 8, 13) (dual of [(2861736, 8), 22893700, 14]-NRT-code) [i]
6Digital (175, 188, 2861736)-net over F2 [i]