Information on Result #614844
Linear OA(822, 512, F8, 9) (dual of [512, 490, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(826, 521, F8, 9) (dual of [521, 495, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(827, 526, F8, 9) (dual of [526, 499, 10]-code) | [i] | ||
| 3 | Linear OA(827, 532, F8, 9) (dual of [532, 505, 10]-code) | [i] | ||
| 4 | Linear OA(825, 532, F8, 9) (dual of [532, 507, 10]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(826, 569, F8, 9) (dual of [569, 543, 10]-code) | [i] | ||
| 6 | Linear OA(827, 651, F8, 9) (dual of [651, 624, 10]-code) | [i] | ||
| 7 | Linear OA(828, 799, F8, 9) (dual of [799, 771, 10]-code) | [i] | ||
| 8 | Linear OA(825, 515, F8, 10) (dual of [515, 490, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(823, 516, F8, 9) (dual of [516, 493, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(829, 519, F8, 11) (dual of [519, 490, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(824, 520, F8, 9) (dual of [520, 496, 10]-code) | [i] | ✔ | |
| 12 | Linear OA(833, 521, F8, 12) (dual of [521, 488, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(834, 524, F8, 12) (dual of [524, 490, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(825, 522, F8, 9) (dual of [522, 497, 10]-code) | [i] | ✔ | |
| 15 | Linear OA(826, 525, F8, 9) (dual of [525, 499, 10]-code) | [i] | ✔ | |
| 16 | Linear OA(838, 528, F8, 13) (dual of [528, 490, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(826, 528, F8, 8) (dual of [528, 502, 9]-code) | [i] | ✔ | |
| 18 | Linear OA(843, 533, F8, 14) (dual of [533, 490, 15]-code) | [i] | ✔ | |
| 19 | Linear OA(847, 537, F8, 15) (dual of [537, 490, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(852, 541, F8, 16) (dual of [541, 489, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(851, 539, F8, 16) (dual of [539, 488, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(849, 540, F8, 15) (dual of [540, 491, 16]-code) | [i] | ✔ | |
| 23 | Linear OA(842, 530, F8, 14) (dual of [530, 488, 15]-code) | [i] | ✔ | |
| 24 | Linear OA(845, 536, F8, 14) (dual of [536, 491, 15]-code) | [i] | ✔ | |
| 25 | Linear OA(840, 531, F8, 13) (dual of [531, 491, 14]-code) | [i] | ✔ | |
| 26 | Linear OA(836, 527, F8, 12) (dual of [527, 491, 13]-code) | [i] | ✔ | |
| 27 | Linear OA(827, 527, F8, 9) (dual of [527, 500, 10]-code) | [i] | ✔ | |
| 28 | Linear OOA(822, 256, F8, 2, 9) (dual of [(256, 2), 490, 10]-NRT-code) | [i] | OOA Folding | |