Information on Result #713257
Linear OA(734, 342, F7, 13) (dual of [342, 308, 14]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {46,47,…,58}, and designed minimum distance d ≥ |I|+1 = 14
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 BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(734, 275, F7, 2, 13) (dual of [(275, 2), 516, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(734, 275, F7, 3, 13) (dual of [(275, 3), 791, 14]-NRT-code) | [i] | ||
| 3 | Digital (21, 34, 275)-net over F7 | [i] | ||
| 4 | Linear OA(741, 367, F7, 13) (dual of [367, 326, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(743, 355, F7, 16) (dual of [355, 312, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(748, 360, F7, 17) (dual of [360, 312, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(742, 353, F7, 16) (dual of [353, 311, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(760, 380, F7, 19) (dual of [380, 320, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(747, 358, F7, 17) (dual of [358, 311, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(759, 376, F7, 19) (dual of [376, 317, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(757, 369, F7, 19) (dual of [369, 312, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(752, 363, F7, 18) (dual of [363, 311, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(757, 371, F7, 19) (dual of [371, 314, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(756, 367, F7, 19) (dual of [367, 311, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(764, 372, F7, 22) (dual of [372, 308, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(769, 377, F7, 23) (dual of [377, 308, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(774, 382, F7, 24) (dual of [382, 308, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(778, 386, F7, 25) (dual of [386, 308, 26]-code) | [i] | ✔ | |