Information on Result #1014563

Linear OOA(8113, 2796215, F8, 3, 15) (dual of [(2796215, 3), 8388532, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(88, 14, F8, 3, 7) (dual of [(14, 3), 34, 8]-NRT-code), using
  2. linear OOA(8105, 2796201, F8, 3, 15) (dual of [(2796201, 3), 8388498, 16]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8105, large, F8, 15) (dual of [large, large−105, 16]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(8163, 5592430, F8, 3, 15) (dual of [(5592430, 3), 16777127, 16]-NRT-code) [i](u, u+v)-Construction for OOAs