Information on Result #1017564

Linear OOA(6425, 2800298, F64, 3, 6) (dual of [(2800298, 3), 8400869, 7]-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(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(6432, 5600596, F64, 3, 6) (dual of [(5600596, 3), 16801756, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(6477, 5592562, F64, 3, 12) (dual of [(5592562, 3), 16777609, 13]-NRT-code) [i]
3Linear OOA(6479, 5592662, F64, 3, 12) (dual of [(5592662, 3), 16777907, 13]-NRT-code) [i]
4Linear OOA(6480, 5592692, F64, 3, 12) (dual of [(5592692, 3), 16777996, 13]-NRT-code) [i]
5Linear OOA(6481, 5595134, F64, 3, 12) (dual of [(5595134, 3), 16785321, 13]-NRT-code) [i]
6Linear OOA(6482, 5595136, F64, 3, 12) (dual of [(5595136, 3), 16785326, 13]-NRT-code) [i]
7Linear OOA(6483, 5595138, F64, 3, 12) (dual of [(5595138, 3), 16785331, 13]-NRT-code) [i]
8Linear OOA(6484, 5596562, F64, 3, 12) (dual of [(5596562, 3), 16789602, 13]-NRT-code) [i]
9Linear OOA(6485, 5597866, F64, 3, 12) (dual of [(5597866, 3), 16793513, 13]-NRT-code) [i]
10Linear OOA(6486, 5683881, F64, 3, 12) (dual of [(5683881, 3), 17051557, 13]-NRT-code) [i]
11Linear OOA(6481, 5592562, F64, 3, 13) (dual of [(5592562, 3), 16777605, 14]-NRT-code) [i]
12Linear OOA(6483, 5592662, F64, 3, 13) (dual of [(5592662, 3), 16777903, 14]-NRT-code) [i]
13Linear OOA(6484, 5592692, F64, 3, 13) (dual of [(5592692, 3), 16777992, 14]-NRT-code) [i]
14Linear OOA(6485, 5595134, F64, 3, 13) (dual of [(5595134, 3), 16785317, 14]-NRT-code) [i]
15Linear OOA(6486, 5595136, F64, 3, 13) (dual of [(5595136, 3), 16785322, 14]-NRT-code) [i]
16Linear OOA(6487, 5595138, F64, 3, 13) (dual of [(5595138, 3), 16785327, 14]-NRT-code) [i]
17Linear OOA(6488, 5596562, F64, 3, 13) (dual of [(5596562, 3), 16789598, 14]-NRT-code) [i]
18Linear OOA(6489, 5597866, F64, 3, 13) (dual of [(5597866, 3), 16793509, 14]-NRT-code) [i]
19Linear OOA(6490, 5683881, F64, 3, 13) (dual of [(5683881, 3), 17051553, 14]-NRT-code) [i]
20Linear OOA(6425, 2800297, F64, 9, 6) (dual of [(2800297, 9), 25202648, 7]-NRT-code) [i]OOA Stacking with Additional Row