Information on Result #952759
Linear OOA(3180, 2796201, F3, 3, 18) (dual of [(2796201, 3), 8388423, 19]-NRT-code), using OOA 3-folding based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3183, 2796202, F3, 3, 18) (dual of [(2796202, 3), 8388423, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3186, 2796203, F3, 3, 18) (dual of [(2796203, 3), 8388423, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(3182, 2796201, F3, 3, 18) (dual of [(2796201, 3), 8388421, 19]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3189, 2796205, F3, 3, 18) (dual of [(2796205, 3), 8388426, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3190, 2796208, F3, 3, 18) (dual of [(2796208, 3), 8388434, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(3191, 2796209, F3, 3, 18) (dual of [(2796209, 3), 8388436, 19]-NRT-code) | [i] | ||
| 7 | Linear OOA(3192, 2796211, F3, 3, 18) (dual of [(2796211, 3), 8388441, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(3193, 2796214, F3, 3, 18) (dual of [(2796214, 3), 8388449, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(3194, 2796216, F3, 3, 18) (dual of [(2796216, 3), 8388454, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(3195, 2796217, F3, 3, 18) (dual of [(2796217, 3), 8388456, 19]-NRT-code) | [i] | ||
| 11 | Linear OOA(3196, 2796219, F3, 3, 18) (dual of [(2796219, 3), 8388461, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(3197, 2796221, F3, 3, 18) (dual of [(2796221, 3), 8388466, 19]-NRT-code) | [i] | ||
| 13 | Linear OOA(3198, 2796222, F3, 3, 18) (dual of [(2796222, 3), 8388468, 19]-NRT-code) | [i] | ||
| 14 | Linear OOA(3199, 2796227, F3, 3, 18) (dual of [(2796227, 3), 8388482, 19]-NRT-code) | [i] | ||
| 15 | Linear OOA(3200, 2796233, F3, 3, 18) (dual of [(2796233, 3), 8388499, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(3202, 2796241, F3, 3, 18) (dual of [(2796241, 3), 8388521, 19]-NRT-code) | [i] | ||
| 17 | Linear OOA(3204, 2796257, F3, 3, 18) (dual of [(2796257, 3), 8388567, 19]-NRT-code) | [i] | ||
| 18 | Linear OOA(3206, 2796261, F3, 3, 18) (dual of [(2796261, 3), 8388577, 19]-NRT-code) | [i] | ||
| 19 | Linear OOA(3207, 2796285, F3, 3, 18) (dual of [(2796285, 3), 8388648, 19]-NRT-code) | [i] | ||
| 20 | Linear OOA(3210, 2796315, F3, 3, 18) (dual of [(2796315, 3), 8388735, 19]-NRT-code) | [i] | ||
| 21 | Linear OOA(3213, 2796345, F3, 3, 18) (dual of [(2796345, 3), 8388822, 19]-NRT-code) | [i] | ||
| 22 | Linear OOA(3214, 2796365, F3, 3, 18) (dual of [(2796365, 3), 8388881, 19]-NRT-code) | [i] | ||
| 23 | Linear OOA(3216, 2796529, F3, 3, 18) (dual of [(2796529, 3), 8389371, 19]-NRT-code) | [i] | ||
| 24 | Linear OOA(3220, 2796601, F3, 3, 18) (dual of [(2796601, 3), 8389583, 19]-NRT-code) | [i] | ||
| 25 | Linear OOA(3222, 2796929, F3, 3, 18) (dual of [(2796929, 3), 8390565, 19]-NRT-code) | [i] | ||
| 26 | Linear OOA(3223, 2796932, F3, 3, 18) (dual of [(2796932, 3), 8390573, 19]-NRT-code) | [i] | ||
| 27 | Linear OOA(3180, 2796201, F3, 4, 18) (dual of [(2796201, 4), 11184624, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 28 | Linear OOA(3180, 2796201, F3, 5, 18) (dual of [(2796201, 5), 13980825, 19]-NRT-code) | [i] | ||
| 29 | Digital (162, 180, 2796201)-net over F3 | [i] | ||