Information on Result #1017566

Linear OOA(6427, 3066603, F64, 3, 6) (dual of [(3066603, 3), 9199782, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(646, 270402, F64, 3, 3) (dual of [(270402, 3), 811200, 4]-NRT-code), using
  2. linear OOA(6421, 2796201, F64, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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(6434, 6133206, F64, 3, 6) (dual of [(6133206, 3), 18399584, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(6488, 5767166, F64, 3, 12) (dual of [(5767166, 3), 17301410, 13]-NRT-code) [i]
3Linear OOA(6489, 5767170, F64, 3, 12) (dual of [(5767170, 3), 17301421, 13]-NRT-code) [i]
4Linear OOA(6490, 5767172, F64, 3, 12) (dual of [(5767172, 3), 17301426, 13]-NRT-code) [i]
5Linear OOA(6491, 5767296, F64, 3, 12) (dual of [(5767296, 3), 17301797, 13]-NRT-code) [i]
6Linear OOA(6427, 3066602, F64, 9, 6) (dual of [(3066602, 9), 27599391, 7]-NRT-code) [i]OOA Stacking with Additional Row