Information on Result #713465
Linear OA(740, 342, F7, 16) (dual of [342, 302, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17
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]
- Primitive BCH-Codes (hidden) [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(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(743, 348, F7, 17) (dual of [348, 305, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(758, 366, F7, 20) (dual of [366, 308, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(747, 352, F7, 18) (dual of [352, 305, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(752, 357, F7, 19) (dual of [357, 305, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(751, 353, F7, 19) (dual of [353, 302, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(756, 361, F7, 20) (dual of [361, 305, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(770, 377, F7, 23) (dual of [377, 307, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(761, 366, F7, 21) (dual of [366, 305, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(769, 374, F7, 23) (dual of [374, 305, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(768, 372, F7, 23) (dual of [372, 304, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(773, 378, F7, 24) (dual of [378, 305, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(746, 348, F7, 18) (dual of [348, 302, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(750, 352, F7, 19) (dual of [352, 302, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(754, 353, F7, 20) (dual of [353, 299, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(759, 361, F7, 21) (dual of [361, 302, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(771, 372, F7, 24) (dual of [372, 301, 25]-code) | [i] | ✔ | |
| 20 | Linear OA(776, 378, F7, 25) (dual of [378, 302, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(754, 356, F7, 20) (dual of [356, 302, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(758, 357, F7, 21) (dual of [357, 299, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(775, 376, F7, 25) (dual of [376, 301, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(780, 382, F7, 26) (dual of [382, 302, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(785, 387, F7, 27) (dual of [387, 302, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(784, 385, F7, 27) (dual of [385, 301, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(787, 389, F7, 28) (dual of [389, 302, 29]-code) | [i] | ✔ | |