Information on Result #715004
Linear OA(828, 511, F8, 11) (dual of [511, 483, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(828, 299, F8, 2, 11) (dual of [(299, 2), 570, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(828, 299, F8, 3, 11) (dual of [(299, 3), 869, 12]-NRT-code) | [i] | ||
| 3 | Digital (17, 28, 299)-net over F8 | [i] | ||
| 4 | Linear OA(832, 528, F8, 11) (dual of [528, 496, 12]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(836, 525, F8, 13) (dual of [525, 489, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(831, 517, F8, 12) (dual of [517, 486, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(840, 527, F8, 14) (dual of [527, 487, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(835, 521, F8, 13) (dual of [521, 486, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(845, 534, F8, 15) (dual of [534, 489, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(839, 523, F8, 14) (dual of [523, 484, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(844, 530, F8, 15) (dual of [530, 486, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(849, 535, F8, 16) (dual of [535, 486, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(860, 542, F8, 19) (dual of [542, 482, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(834, 517, F8, 13) (dual of [517, 483, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(838, 521, F8, 14) (dual of [521, 483, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(842, 523, F8, 15) (dual of [523, 481, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(847, 530, F8, 16) (dual of [530, 483, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(842, 525, F8, 15) (dual of [525, 483, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(846, 527, F8, 16) (dual of [527, 481, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(867, 545, F8, 21) (dual of [545, 478, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(866, 542, F8, 21) (dual of [542, 476, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(871, 547, F8, 22) (dual of [547, 476, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(875, 551, F8, 23) (dual of [551, 476, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(875, 558, F8, 23) (dual of [558, 483, 24]-code) | [i] | ✔ | |