Information on Result #953069
Linear OOA(3210, 2796201, F3, 3, 21) (dual of [(2796201, 3), 8388393, 22]-NRT-code), using OOA 3-folding based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(3213, 2796202, F3, 3, 21) (dual of [(2796202, 3), 8388393, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3216, 2796203, F3, 3, 21) (dual of [(2796203, 3), 8388393, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3219, 2796204, F3, 3, 21) (dual of [(2796204, 3), 8388393, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3212, 2796201, F3, 3, 21) (dual of [(2796201, 3), 8388391, 22]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3220, 2796205, F3, 3, 21) (dual of [(2796205, 3), 8388395, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3221, 2796208, F3, 3, 21) (dual of [(2796208, 3), 8388403, 22]-NRT-code) | [i] | ||
| 7 | Linear OOA(3222, 2796209, F3, 3, 21) (dual of [(2796209, 3), 8388405, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(3223, 2796211, F3, 3, 21) (dual of [(2796211, 3), 8388410, 22]-NRT-code) | [i] | ||
| 9 | Linear OOA(3224, 2796213, F3, 3, 21) (dual of [(2796213, 3), 8388415, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(3225, 2796216, F3, 3, 21) (dual of [(2796216, 3), 8388423, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(3226, 2796217, F3, 3, 21) (dual of [(2796217, 3), 8388425, 22]-NRT-code) | [i] | ||
| 12 | Linear OOA(3227, 2796219, F3, 3, 21) (dual of [(2796219, 3), 8388430, 22]-NRT-code) | [i] | ||
| 13 | Linear OOA(3228, 2796221, F3, 3, 21) (dual of [(2796221, 3), 8388435, 22]-NRT-code) | [i] | ||
| 14 | Linear OOA(3229, 2796222, F3, 3, 21) (dual of [(2796222, 3), 8388437, 22]-NRT-code) | [i] | ||
| 15 | Linear OOA(3230, 2796224, F3, 3, 21) (dual of [(2796224, 3), 8388442, 22]-NRT-code) | [i] | ||
| 16 | Linear OOA(3231, 2796226, F3, 3, 21) (dual of [(2796226, 3), 8388447, 22]-NRT-code) | [i] | ||
| 17 | Linear OOA(3232, 2796233, F3, 3, 21) (dual of [(2796233, 3), 8388467, 22]-NRT-code) | [i] | ||
| 18 | Linear OOA(3234, 2796241, F3, 3, 21) (dual of [(2796241, 3), 8388489, 22]-NRT-code) | [i] | ||
| 19 | Linear OOA(3236, 2796257, F3, 3, 21) (dual of [(2796257, 3), 8388535, 22]-NRT-code) | [i] | ||
| 20 | Linear OOA(3238, 2796261, F3, 3, 21) (dual of [(2796261, 3), 8388545, 22]-NRT-code) | [i] | ||
| 21 | Linear OOA(3240, 2796285, F3, 3, 21) (dual of [(2796285, 3), 8388615, 22]-NRT-code) | [i] | ||
| 22 | Linear OOA(3243, 2796315, F3, 3, 21) (dual of [(2796315, 3), 8388702, 22]-NRT-code) | [i] | ||
| 23 | Linear OOA(3246, 2796345, F3, 3, 21) (dual of [(2796345, 3), 8388789, 22]-NRT-code) | [i] | ||
| 24 | Linear OOA(3247, 2796444, F3, 3, 21) (dual of [(2796444, 3), 8389085, 22]-NRT-code) | [i] | ||
| 25 | Linear OOA(3248, 2796446, F3, 3, 21) (dual of [(2796446, 3), 8389090, 22]-NRT-code) | [i] | ||
| 26 | Linear OOA(3249, 2796448, F3, 3, 21) (dual of [(2796448, 3), 8389095, 22]-NRT-code) | [i] | ||
| 27 | Linear OOA(3250, 2796529, F3, 3, 21) (dual of [(2796529, 3), 8389337, 22]-NRT-code) | [i] | ||
| 28 | Linear OOA(3210, 2315075, F3, 4, 21) (dual of [(2315075, 4), 9260090, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 29 | Linear OOA(3210, 2315075, F3, 5, 21) (dual of [(2315075, 5), 11575165, 22]-NRT-code) | [i] | ||
| 30 | Digital (189, 210, 2315075)-net over F3 | [i] | ||