Information on Result #1019975

Linear OOA(25638, 2828841, F256, 3, 11) (dual of [(2828841, 3), 8486485, 12]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2567, 32640, F256, 3, 5) (dual of [(32640, 3), 97913, 6]-NRT-code), using
  2. linear OOA(25631, 2796201, F256, 3, 11) (dual of [(2796201, 3), 8388572, 12]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [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(25639, 2828841, F256, 3, 11) (dual of [(2828841, 3), 8486484, 12]-NRT-code) [i]OOA Duplication
2Linear OOA(25651, 5657682, F256, 3, 11) (dual of [(5657682, 3), 16972995, 12]-NRT-code) [i](u, u+v)-Construction for OOAs