Information on Result #1009173

Linear OOA(2179, 2804392, F2, 3, 13) (dual of [(2804392, 3), 8412997, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(240, 8191, F2, 3, 6) (dual of [(8191, 3), 24533, 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(2179, 2804392, F2, 3, 12) (dual of [(2804392, 3), 8412997, 13]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2180, 2804392, F2, 3, 13) (dual of [(2804392, 3), 8412996, 14]-NRT-code) [i]OOA Duplication
3Linear OOA(2181, 2804392, F2, 3, 13) (dual of [(2804392, 3), 8412995, 14]-NRT-code) [i]
4Linear OOA(2246, 5608784, F2, 3, 13) (dual of [(5608784, 3), 16826106, 14]-NRT-code) [i](u, u+v)-Construction for OOAs
5Linear OOA(2179, 2804392, F2, 4, 13) (dual of [(2804392, 4), 11217389, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Linear OOA(2179, 2804392, F2, 5, 13) (dual of [(2804392, 5), 14021781, 14]-NRT-code) [i]
7Linear OOA(2179, 2804392, F2, 6, 13) (dual of [(2804392, 6), 16826173, 14]-NRT-code) [i]
8Linear OOA(2179, 2804392, F2, 7, 13) (dual of [(2804392, 7), 19630565, 14]-NRT-code) [i]
9Linear OOA(2179, 2804392, F2, 8, 13) (dual of [(2804392, 8), 22434957, 14]-NRT-code) [i]
10Digital (166, 179, 2804392)-net over F2 [i]
11Linear OOA(2179, 1402196, F2, 6, 13) (dual of [(1402196, 6), 8412997, 14]-NRT-code) [i]OOA Folding