Information on Result #1012945

Linear OOA(556, 2796267, F5, 3, 7) (dual of [(2796267, 3), 8388745, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(55, 66, F5, 3, 3) (dual of [(66, 3), 193, 4]-NRT-code), using
  2. linear OOA(551, 2796201, F5, 3, 7) (dual of [(2796201, 3), 8388552, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(551, large, F5, 7) (dual of [large, large−51, 8]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [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(571, 5592534, F5, 3, 7) (dual of [(5592534, 3), 16777531, 8]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(556, 2796266, F5, 9, 7) (dual of [(2796266, 9), 25166338, 8]-NRT-code) [i]OOA Stacking with Additional Row