Information on Result #1013702

Linear OOA(747, 274646, F7, 3, 7) (dual of [(274646, 3), 823891, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(75, 132, F7, 3, 3) (dual of [(132, 3), 391, 4]-NRT-code), using
  2. linear OOA(742, 274514, F7, 3, 7) (dual of [(274514, 3), 823500, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(742, 823542, F7, 7) (dual of [823542, 823500, 8]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(747, 274645, F7, 9, 7) (dual of [(274645, 9), 2471758, 8]-NRT-code) [i]OOA Stacking with Additional Row