Information on Result #1010744

Linear OOA(3201, 5592406, F3, 3, 14) (dual of [(5592406, 3), 16777017, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(37, 4, F3, 3, 7) (dual of [(4, 3), 5, 8]-NRT-code), using
  2. linear OOA(3194, 5592402, F3, 3, 14) (dual of [(5592402, 3), 16777012, 15]-NRT-code), using
    • trace code [i] based on linear OOA(997, 2796201, F9, 3, 14) (dual of [(2796201, 3), 8388506, 15]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(997, large, F9, 14) (dual of [large, large−97, 15]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(3201, 2796203, F3, 5, 14) (dual of [(2796203, 5), 13980814, 15]-NRT-code) [i]OOA Folding