Information on Result #1117007
Linear OOA(365, 2796221, F3, 5, 6) (dual of [(2796221, 5), 13981040, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(35, 20, F3, 5, 3) (dual of [(20, 5), 95, 4]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(35, 20, F3, 3, 3) (dual of [(20, 3), 55, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(35, 20, F3, 2, 3) (dual of [(20, 2), 35, 4]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(35, 20, F3, 3, 3) (dual of [(20, 3), 55, 4]-NRT-code), using
- 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]
- OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(3236, 5592428, F3, 5, 12) (dual of [(5592428, 5), 27961904, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(3237, 5592440, F3, 5, 12) (dual of [(5592440, 5), 27961963, 13]-NRT-code) | [i] | ||
3 | Linear OOA(3238, 5592447, F3, 5, 12) (dual of [(5592447, 5), 27961997, 13]-NRT-code) | [i] | ||
4 | Linear OOA(3239, 5592455, F3, 5, 12) (dual of [(5592455, 5), 27962036, 13]-NRT-code) | [i] | ||
5 | Linear OOA(3241, 6068264, F3, 5, 12) (dual of [(6068264, 5), 30341079, 13]-NRT-code) | [i] | ||
6 | Linear OOA(3245, 6990522, F3, 5, 12) (dual of [(6990522, 5), 34952365, 13]-NRT-code) | [i] | ||
7 | Linear OOA(3242, 6068264, F3, 5, 13) (dual of [(6068264, 5), 30341078, 14]-NRT-code) | [i] | ||
8 | Linear OOA(3246, 6151661, F3, 5, 13) (dual of [(6151661, 5), 30758059, 14]-NRT-code) | [i] | ||
9 | Linear OOA(365, 2796221, F3, 6, 6) (dual of [(2796221, 6), 16777261, 7]-NRT-code) | [i] | Appending kth Column |