Information on Result #614871
Linear OA(831, 512, F8, 12) (dual of [512, 481, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,11], 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(837, 521, F8, 12) (dual of [521, 484, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(834, 515, F8, 13) (dual of [515, 481, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(831, 515, F8, 12) (dual of [515, 484, 13]-code) | [i] | ✔ | |
| 4 | Linear OA(838, 519, F8, 14) (dual of [519, 481, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(832, 519, F8, 12) (dual of [519, 487, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(842, 521, F8, 15) (dual of [521, 479, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(843, 524, F8, 15) (dual of [524, 481, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(833, 521, F8, 12) (dual of [521, 488, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(834, 524, F8, 12) (dual of [524, 490, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(849, 530, F8, 17) (dual of [530, 481, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(847, 528, F8, 16) (dual of [528, 481, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(837, 530, F8, 12) (dual of [530, 493, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(853, 534, F8, 18) (dual of [534, 481, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(859, 538, F8, 19) (dual of [538, 479, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(860, 541, F8, 19) (dual of [541, 481, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(859, 540, F8, 19) (dual of [540, 481, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(858, 538, F8, 19) (dual of [538, 480, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(857, 536, F8, 19) (dual of [536, 479, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(856, 540, F8, 18) (dual of [540, 484, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(855, 538, F8, 18) (dual of [538, 483, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(854, 536, F8, 18) (dual of [536, 482, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(848, 527, F8, 17) (dual of [527, 479, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(848, 530, F8, 16) (dual of [530, 482, 17]-code) | [i] | ✔ | |
| 24 | Linear OA(836, 527, F8, 12) (dual of [527, 491, 13]-code) | [i] | ✔ | |