Information on Result #715254
Linear OA(842, 511, F8, 16) (dual of [511, 469, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,16], 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(842, 374, F8, 2, 16) (dual of [(374, 2), 706, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(842, 374, F8, 3, 16) (dual of [(374, 3), 1080, 17]-NRT-code) | [i] | ||
| 3 | Digital (26, 42, 374)-net over F8 | [i] | ||
| 4 | Linear OA(871, 552, F8, 22) (dual of [552, 481, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(858, 533, F8, 20) (dual of [533, 475, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(857, 529, F8, 20) (dual of [529, 472, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(869, 547, F8, 22) (dual of [547, 478, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(867, 542, F8, 22) (dual of [542, 475, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(874, 549, F8, 23) (dual of [549, 475, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(866, 538, F8, 22) (dual of [538, 472, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(854, 523, F8, 20) (dual of [523, 469, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(858, 527, F8, 21) (dual of [527, 469, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(863, 532, F8, 22) (dual of [532, 469, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(872, 541, F8, 24) (dual of [541, 469, 25]-code) | [i] | ✔ | |
| 15 | Linear OOA(842, 170, F8, 3, 16) (dual of [(170, 3), 468, 17]-NRT-code) | [i] | OOA Folding | |