Information on Result #713208
Linear OA(719, 342, F7, 8) (dual of [342, 323, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9
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 OA(725, 353, F7, 9) (dual of [353, 328, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(729, 357, F7, 10) (dual of [357, 328, 11]-code) | [i] | ✔ | |
| 3 | Linear OA(728, 355, F7, 10) (dual of [355, 327, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(737, 364, F7, 12) (dual of [364, 327, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(737, 366, F7, 12) (dual of [366, 329, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(736, 362, F7, 12) (dual of [362, 326, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(725, 348, F7, 10) (dual of [348, 323, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(729, 352, F7, 11) (dual of [352, 323, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(734, 357, F7, 12) (dual of [357, 323, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(733, 353, F7, 12) (dual of [353, 320, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(738, 361, F7, 13) (dual of [361, 323, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(743, 366, F7, 14) (dual of [366, 323, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(733, 356, F7, 12) (dual of [356, 323, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(737, 357, F7, 13) (dual of [357, 320, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(742, 365, F7, 14) (dual of [365, 323, 15]-code) | [i] | ✔ | |
| 16 | Linear OOA(719, 171, F7, 2, 8) (dual of [(171, 2), 323, 9]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(719, 114, F7, 3, 8) (dual of [(114, 3), 323, 9]-NRT-code) | [i] | ||