Information on Result #718934
Linear OA(937, 728, F9, 14) (dual of [728, 691, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−4,−3,…,9}, and designed minimum distance d ≥ |I|+1 = 15
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [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(937, 476, F9, 2, 14) (dual of [(476, 2), 915, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(937, 476, F9, 3, 14) (dual of [(476, 3), 1391, 15]-NRT-code) | [i] | ||
| 3 | Digital (23, 37, 476)-net over F9 | [i] | ||
| 4 | Linear OA(951, 761, F9, 15) (dual of [761, 710, 16]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(950, 759, F9, 15) (dual of [759, 709, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(955, 765, F9, 16) (dual of [765, 710, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(954, 763, F9, 16) (dual of [763, 709, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(959, 768, F9, 17) (dual of [768, 709, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(943, 752, F9, 14) (dual of [752, 709, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(942, 748, F9, 14) (dual of [748, 706, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(944, 747, F9, 15) (dual of [747, 703, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(948, 751, F9, 16) (dual of [751, 703, 17]-code) | [i] | ✔ | |