Information on Result #1017730

Linear OOA(6451, 2796266, F64, 3, 12) (dual of [(2796266, 3), 8388747, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(646, 65, F64, 3, 6) (dual of [(65, 3), 189, 7]-NRT-code), using
  2. linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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(6472, 5592467, F64, 3, 12) (dual of [(5592467, 3), 16777329, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(6475, 5592532, F64, 3, 12) (dual of [(5592532, 3), 16777521, 13]-NRT-code) [i]
3Linear OOA(6451, 1398132, F64, 15, 12) (dual of [(1398132, 15), 20971929, 13]-NRT-code) [i]OOA Folding and Stacking with Additional Row