Information on Result #1012943

Linear OOA(554, 2796207, F5, 3, 7) (dual of [(2796207, 3), 8388567, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 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(569, 5592414, F5, 3, 7) (dual of [(5592414, 3), 16777173, 8]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(554, 2796206, F5, 9, 7) (dual of [(2796206, 9), 25165800, 8]-NRT-code) [i]OOA Stacking with Additional Row