Information on Result #1017214

Linear OOA(4940, 2796251, F49, 3, 8) (dual of [(2796251, 3), 8388713, 9]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(494, 50, F49, 3, 4) (dual of [(50, 3), 146, 5]-NRT-code), using
  2. linear OOA(4936, 2796201, F49, 3, 8) (dual of [(2796201, 3), 8388567, 9]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(4936, large, F49, 8) (dual of [large, large−36, 9]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [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(4953, 5592502, F49, 3, 8) (dual of [(5592502, 3), 16777453, 9]-NRT-code) [i](u, u+v)-Construction for OOAs