Information on Result #1014413

Linear OOA(887, 2796210, F8, 3, 12) (dual of [(2796210, 3), 8388543, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(86, 9, F8, 3, 6) (dual of [(9, 3), 21, 7]-NRT-code), using
  2. linear OOA(881, 2796201, F8, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(881, large, F8, 12) (dual of [large, large−81, 13]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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(8129, 5592420, F8, 3, 12) (dual of [(5592420, 3), 16777131, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(887, 1398104, F8, 15, 12) (dual of [(1398104, 15), 20971473, 13]-NRT-code) [i]OOA Folding and Stacking with Additional Row