Information on Result #1117299

Linear OOA(3173, 2796226, F3, 5, 12) (dual of [(2796226, 5), 13980957, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(311, 25, F3, 5, 6) (dual of [(25, 5), 114, 7]-NRT-code), using
  2. linear OOA(3162, 2796201, F3, 5, 12) (dual of [(2796201, 5), 13980843, 13]-NRT-code), using
    • OOA 2-folding [i] based on linear OOA(3162, 5592402, F3, 3, 12) (dual of [(5592402, 3), 16777044, 13]-NRT-code), using
      • trace code [i] based on linear OOA(981, 2796201, F9, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
        • OOA 3-folding [i] based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
          • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, 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(3233, 5592427, F3, 5, 12) (dual of [(5592427, 5), 27961902, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3238, 5592447, F3, 5, 12) (dual of [(5592447, 5), 27961997, 13]-NRT-code) [i]
3Linear OOA(3239, 5592452, F3, 5, 12) (dual of [(5592452, 5), 27962021, 13]-NRT-code) [i]