Information on Result #1018432

Linear OOA(8127, 3334449, F81, 3, 6) (dual of [(3334449, 3), 10003320, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(816, 538248, F81, 3, 3) (dual of [(538248, 3), 1614738, 4]-NRT-code), using
  2. linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, 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(8134, 6668898, F81, 3, 6) (dual of [(6668898, 3), 20006660, 7]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(8127, 3334448, F81, 4, 6) (dual of [(3334448, 4), 13337765, 7]-NRT-code) [i]OOA Stacking with Additional Row
3Linear OOA(8127, 3334448, F81, 9, 6) (dual of [(3334448, 9), 30010005, 7]-NRT-code) [i]