Information on Result #1019923

Linear OOA(25629, 2796458, F256, 3, 9) (dual of [(2796458, 3), 8389345, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2564, 257, F256, 3, 4) (dual of [(257, 3), 767, 5]-NRT-code), using
  2. linear OOA(25625, 2796201, F256, 3, 9) (dual of [(2796201, 3), 8388578, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [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, 5592916, F256, 3, 9) (dual of [(5592916, 3), 16778709, 10]-NRT-code) [i](u, u+v)-Construction for OOAs