Information on Result #1117426

Linear OOA(3181, 3355440, F3, 5, 13) (dual of [(3355440, 5), 16777019, 14]-NRT-code), using (u, u+v)-construction based on
  1. 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]
  2. linear OOA(3121, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388479, 14]-NRT-code), using

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(3182, 3355440, F3, 5, 13) (dual of [(3355440, 5), 16777018, 14]-NRT-code) [i]OOA Duplication
2Linear OOA(3241, 6151641, F3, 5, 13) (dual of [(6151641, 5), 30757964, 14]-NRT-code) [i](u, u+v)-Construction for OOAs
3Linear OOA(3244, 6151645, F3, 5, 13) (dual of [(6151645, 5), 30757981, 14]-NRT-code) [i]
4Linear OOA(3245, 6151651, F3, 5, 13) (dual of [(6151651, 5), 30758010, 14]-NRT-code) [i]
5Linear OOA(3246, 6151661, F3, 5, 13) (dual of [(6151661, 5), 30758059, 14]-NRT-code) [i]
6Linear OOA(3247, 6151697, F3, 5, 13) (dual of [(6151697, 5), 30758238, 14]-NRT-code) [i]
7Linear OOA(3248, 6151753, F3, 5, 13) (dual of [(6151753, 5), 30758517, 14]-NRT-code) [i]