Information on Result #1014767

Linear OOA(8138, 2796210, F8, 3, 19) (dual of [(2796210, 3), 8388492, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(89, 9, F8, 3, 9) (dual of [(9, 3), 18, 10]-NRT-code), using
  2. linear OOA(8129, 2796201, F8, 3, 19) (dual of [(2796201, 3), 8388474, 20]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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(8138, 932069, F8, 21, 19) (dual of [(932069, 21), 19573311, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row