Information on Result #713396
Linear OA(736, 342, F7, 14) (dual of [342, 306, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(736, 251, F7, 2, 14) (dual of [(251, 2), 466, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(736, 251, F7, 3, 14) (dual of [(251, 3), 717, 15]-NRT-code) | [i] | ||
| 3 | Digital (22, 36, 251)-net over F7 | [i] | ||
| 4 | Linear OA(752, 364, F7, 18) (dual of [364, 312, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(746, 354, F7, 17) (dual of [354, 308, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(763, 378, F7, 20) (dual of [378, 315, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(751, 360, F7, 18) (dual of [360, 309, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(761, 373, F7, 20) (dual of [373, 312, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(760, 369, F7, 20) (dual of [369, 309, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(748, 353, F7, 18) (dual of [353, 305, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(748, 354, F7, 18) (dual of [354, 306, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(757, 363, F7, 20) (dual of [363, 306, 21]-code) | [i] | ✔ | |
| 13 | Linear OOA(736, 171, F7, 2, 14) (dual of [(171, 2), 306, 15]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(736, 114, F7, 3, 14) (dual of [(114, 3), 306, 15]-NRT-code) | [i] | ||