Information on Result #1017582

Linear OOA(6429, 2800298, F64, 3, 7) (dual of [(2800298, 3), 8400865, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(644, 4097, F64, 3, 3) (dual of [(4097, 3), 12287, 4]-NRT-code), using
  2. linear OOA(6425, 2796201, F64, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(6425, large, F64, 7) (dual of [large, large−25, 8]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(6436, 5600596, F64, 3, 7) (dual of [(5600596, 3), 16801752, 8]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(6490, 5592562, F64, 3, 14) (dual of [(5592562, 3), 16777596, 15]-NRT-code) [i]
3Linear OOA(6429, 2800297, F64, 9, 7) (dual of [(2800297, 9), 25202644, 8]-NRT-code) [i]OOA Stacking with Additional Row