Information on Result #1010555

Linear OOA(3138, 5592420, F3, 3, 10) (dual of [(5592420, 3), 16777122, 11]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(38, 18, F3, 3, 5) (dual of [(18, 3), 46, 6]-NRT-code), using
  2. linear OOA(3130, 5592402, F3, 3, 10) (dual of [(5592402, 3), 16777076, 11]-NRT-code), using
    • trace code [i] based on linear OOA(965, 2796201, F9, 3, 10) (dual of [(2796201, 3), 8388538, 11]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(3138, 2796210, F3, 5, 10) (dual of [(2796210, 5), 13980912, 11]-NRT-code) [i]OOA Folding