Information on Result #713308
Linear OA(740, 342, F7, 16) (dual of [342, 302, 17]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {43,44,…,58}, and designed minimum distance d ≥ |I|+1 = 17
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(740, 220, F7, 2, 16) (dual of [(220, 2), 400, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(740, 220, F7, 3, 16) (dual of [(220, 3), 620, 17]-NRT-code) | [i] | ||
| 3 | Digital (24, 40, 220)-net over F7 | [i] | ||
| 4 | Linear OA(748, 369, F7, 16) (dual of [369, 321, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(747, 367, F7, 16) (dual of [367, 320, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(746, 363, F7, 16) (dual of [363, 317, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(745, 360, F7, 16) (dual of [360, 315, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(744, 358, F7, 16) (dual of [358, 314, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(743, 353, F7, 16) (dual of [353, 310, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(743, 355, F7, 16) (dual of [355, 312, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(742, 353, F7, 16) (dual of [353, 311, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(741, 349, F7, 16) (dual of [349, 308, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(768, 382, F7, 22) (dual of [382, 314, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(766, 377, F7, 22) (dual of [377, 311, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(764, 372, F7, 22) (dual of [372, 308, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(763, 368, F7, 22) (dual of [368, 305, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(769, 371, F7, 24) (dual of [371, 302, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(774, 376, F7, 25) (dual of [376, 302, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(778, 380, F7, 26) (dual of [380, 302, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(783, 385, F7, 27) (dual of [385, 302, 28]-code) | [i] | ✔ | |