Information on Result #713622
Linear OA(754, 342, F7, 21) (dual of [342, 288, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(766, 357, F7, 21) (dual of [357, 291, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(767, 359, F7, 21) (dual of [359, 292, 22]-code) | [i] | ||
| 3 | Linear OOA(754, 291, F7, 2, 21) (dual of [(291, 2), 528, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(754, 291, F7, 3, 21) (dual of [(291, 3), 819, 22]-NRT-code) | [i] | ||
| 5 | Digital (33, 54, 291)-net over F7 | [i] | ||
| 6 | Linear OA(784, 387, F7, 27) (dual of [387, 303, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(783, 383, F7, 27) (dual of [383, 300, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(770, 364, F7, 25) (dual of [364, 294, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(764, 354, F7, 24) (dual of [354, 290, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(781, 378, F7, 27) (dual of [378, 297, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(769, 360, F7, 25) (dual of [360, 291, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(779, 373, F7, 27) (dual of [373, 294, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(778, 369, F7, 27) (dual of [369, 291, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(793, 389, F7, 30) (dual of [389, 296, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(791, 384, F7, 30) (dual of [384, 293, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(766, 353, F7, 25) (dual of [353, 287, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(766, 354, F7, 25) (dual of [354, 288, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(775, 363, F7, 27) (dual of [363, 288, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(7105, 392, F7, 34) (dual of [392, 287, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(7106, 394, F7, 34) (dual of [394, 288, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(7110, 397, F7, 35) (dual of [397, 287, 36]-code) | [i] | ✔ | |
| 22 | Linear OOA(754, 171, F7, 2, 21) (dual of [(171, 2), 288, 22]-NRT-code) | [i] | OOA Folding | |
| 23 | Linear OOA(754, 114, F7, 3, 21) (dual of [(114, 3), 288, 22]-NRT-code) | [i] | ||