Information on Result #704272
Linear OA(360, 728, F3, 15) (dual of [728, 668, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(360, 404, F3, 2, 15) (dual of [(404, 2), 748, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(360, 404, F3, 3, 15) (dual of [(404, 3), 1152, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(360, 404, F3, 4, 15) (dual of [(404, 4), 1556, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(360, 404, F3, 5, 15) (dual of [(404, 5), 1960, 16]-NRT-code) | [i] | ||
| 5 | Digital (45, 60, 404)-net over F3 | [i] | ||
| 6 | Linear OA(368, 769, F3, 15) (dual of [769, 701, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(369, 743, F3, 17) (dual of [743, 674, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(379, 759, F3, 18) (dual of [759, 680, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(379, 753, F3, 19) (dual of [753, 674, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(377, 748, F3, 18) (dual of [748, 671, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(396, 769, F3, 21) (dual of [769, 673, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(394, 763, F3, 21) (dual of [763, 669, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(384, 752, F3, 20) (dual of [752, 668, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(392, 760, F3, 21) (dual of [760, 668, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(391, 759, F3, 21) (dual of [759, 668, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(3109, 772, F3, 24) (dual of [772, 663, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(3110, 778, F3, 24) (dual of [778, 668, 25]-code) | [i] | ✔ | |
| 18 | Linear OOA(360, 364, F3, 2, 15) (dual of [(364, 2), 668, 16]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(360, 242, F3, 3, 15) (dual of [(242, 3), 666, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(360, 182, F3, 4, 15) (dual of [(182, 4), 668, 16]-NRT-code) | [i] | ||