Information on Result #718871
Linear OA(924, 728, F9, 9) (dual of [728, 704, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(928, 738, F9, 9) (dual of [738, 710, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(929, 744, F9, 9) (dual of [744, 715, 10]-code) | [i] | ||
| 3 | Linear OA(930, 800, F9, 9) (dual of [800, 770, 10]-code) | [i] | ||
| 4 | Linear OA(929, 748, F9, 9) (dual of [748, 719, 10]-code) | [i] | ||
| 5 | Linear OOA(924, 574, F9, 2, 9) (dual of [(574, 2), 1124, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(924, 574, F9, 3, 9) (dual of [(574, 3), 1698, 10]-NRT-code) | [i] | ||
| 7 | Digital (15, 24, 574)-net over F9 | [i] | ||
| 8 | Linear OA(928, 742, F9, 9) (dual of [742, 714, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(949, 759, F9, 15) (dual of [759, 710, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(954, 764, F9, 16) (dual of [764, 710, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(948, 755, F9, 15) (dual of [755, 707, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(959, 766, F9, 17) (dual of [766, 707, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(958, 764, F9, 17) (dual of [764, 706, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(953, 760, F9, 16) (dual of [760, 707, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(936, 740, F9, 13) (dual of [740, 704, 14]-code) | [i] | ✔ | |
| 16 | Linear OA(955, 759, F9, 17) (dual of [759, 704, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(940, 744, F9, 14) (dual of [744, 704, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(945, 749, F9, 15) (dual of [749, 704, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(954, 758, F9, 17) (dual of [758, 704, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(959, 763, F9, 18) (dual of [763, 704, 19]-code) | [i] | ✔ | |
| 21 | Linear OOA(924, 364, F9, 2, 9) (dual of [(364, 2), 704, 10]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(924, 242, F9, 3, 9) (dual of [(242, 3), 702, 10]-NRT-code) | [i] | ||