Information on Result #715296
Linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {53,54,…,74}, and designed minimum distance d ≥ |I|+1 = 23
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 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(858, 434, F8, 2, 22) (dual of [(434, 2), 810, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(858, 434, F8, 3, 22) (dual of [(434, 3), 1244, 23]-NRT-code) | [i] | ||
| 3 | Digital (36, 58, 434)-net over F8 | [i] | ||
| 4 | Linear OA(865, 536, F8, 22) (dual of [536, 471, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(872, 529, F8, 26) (dual of [529, 457, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(871, 526, F8, 26) (dual of [526, 455, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(871, 527, F8, 26) (dual of [527, 456, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(870, 524, F8, 26) (dual of [524, 454, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(891, 556, F8, 29) (dual of [556, 465, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(890, 553, F8, 29) (dual of [553, 463, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(889, 551, F8, 29) (dual of [551, 462, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(881, 538, F8, 28) (dual of [538, 457, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(876, 532, F8, 27) (dual of [532, 456, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(875, 528, F8, 27) (dual of [528, 453, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(888, 547, F8, 29) (dual of [547, 459, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(880, 536, F8, 28) (dual of [536, 456, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(887, 544, F8, 29) (dual of [544, 457, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(886, 542, F8, 29) (dual of [542, 456, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(899, 552, F8, 32) (dual of [552, 453, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(899, 550, F8, 33) (dual of [550, 451, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(898, 548, F8, 33) (dual of [548, 450, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(8109, 562, F8, 35) (dual of [562, 453, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(8108, 559, F8, 35) (dual of [559, 451, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(8107, 557, F8, 35) (dual of [557, 450, 36]-code) | [i] | ✔ | |