Information on Result #1117301

Linear OOA(3175, 2796243, F3, 5, 12) (dual of [(2796243, 5), 13981040, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(313, 42, F3, 5, 6) (dual of [(42, 5), 197, 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(3235, 5592444, F3, 5, 12) (dual of [(5592444, 5), 27961985, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3238, 5592448, F3, 5, 12) (dual of [(5592448, 5), 27962002, 13]-NRT-code) [i]
3Linear OOA(3241, 5592486, F3, 5, 12) (dual of [(5592486, 5), 27962189, 13]-NRT-code) [i]