Information on Result #713174
Linear OA(758, 342, F7, 23) (dual of [342, 284, 24]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,58}, and designed minimum distance d ≥ |I|+1 = 24
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(758, 273, F7, 2, 23) (dual of [(273, 2), 488, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(758, 273, F7, 3, 23) (dual of [(273, 3), 761, 24]-NRT-code) | [i] | ||
| 3 | Digital (35, 58, 273)-net over F7 | [i] | ||
| 4 | Linear OA(7109, 393, F7, 35) (dual of [393, 284, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(771, 379, F7, 23) (dual of [379, 308, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(766, 369, F7, 23) (dual of [369, 303, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(765, 367, F7, 23) (dual of [367, 302, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(764, 363, F7, 23) (dual of [363, 299, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(763, 360, F7, 23) (dual of [360, 297, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(762, 358, F7, 23) (dual of [358, 296, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(761, 353, F7, 23) (dual of [353, 292, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(761, 355, F7, 23) (dual of [355, 294, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(760, 353, F7, 23) (dual of [353, 293, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(759, 349, F7, 23) (dual of [349, 290, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(787, 386, F7, 29) (dual of [386, 299, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(786, 382, F7, 29) (dual of [382, 296, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(784, 377, F7, 29) (dual of [377, 293, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(782, 372, F7, 29) (dual of [372, 290, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(781, 368, F7, 29) (dual of [368, 287, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(787, 371, F7, 31) (dual of [371, 284, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(792, 376, F7, 32) (dual of [376, 284, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(796, 380, F7, 33) (dual of [380, 284, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(7101, 385, F7, 34) (dual of [385, 284, 35]-code) | [i] | ✔ | |