Information on Result #1117009

Linear OOA(367, 2796313, F3, 5, 6) (dual of [(2796313, 5), 13981498, 7]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(37, 112, F3, 5, 3) (dual of [(112, 5), 553, 4]-NRT-code), using
  2. linear OOA(360, 2796201, F3, 5, 6) (dual of [(2796201, 5), 13980945, 7]-NRT-code), using
    • OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(3243, 6068356, F3, 5, 12) (dual of [(6068356, 5), 30341537, 13]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3247, 6990614, F3, 5, 12) (dual of [(6990614, 5), 34952823, 13]-NRT-code) [i]
3Linear OOA(3244, 6068356, F3, 5, 13) (dual of [(6068356, 5), 30341536, 14]-NRT-code) [i]
4Linear OOA(3248, 6151753, F3, 5, 13) (dual of [(6151753, 5), 30758517, 14]-NRT-code) [i]
5Linear OOA(367, 2796313, F3, 6, 6) (dual of [(2796313, 6), 16777811, 7]-NRT-code) [i]Appending kth Column