Information on Result #1017581

Linear OOA(6428, 2796266, F64, 3, 7) (dual of [(2796266, 3), 8388770, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 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(6435, 5592532, F64, 3, 7) (dual of [(5592532, 3), 16777561, 8]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(6487, 5592406, F64, 3, 14) (dual of [(5592406, 3), 16777131, 15]-NRT-code) [i]
3Linear OOA(6488, 5592532, F64, 3, 14) (dual of [(5592532, 3), 16777508, 15]-NRT-code) [i]
4Linear OOA(6489, 5592547, F64, 3, 14) (dual of [(5592547, 3), 16777552, 15]-NRT-code) [i]
5Linear OOA(6491, 5592597, F64, 3, 14) (dual of [(5592597, 3), 16777700, 15]-NRT-code) [i]
6Linear OOA(6491, 5592406, F64, 3, 15) (dual of [(5592406, 3), 16777127, 16]-NRT-code) [i]
7Linear OOA(6428, 2796265, F64, 9, 7) (dual of [(2796265, 9), 25166357, 8]-NRT-code) [i]OOA Stacking with Additional Row