Information on Result #716080
Linear OA(8106, 511, F8, 41) (dual of [511, 405, 42]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,81}, and designed minimum distance d ≥ |I|+1 = 42
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8124, 562, F8, 41) (dual of [562, 438, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8123, 559, F8, 41) (dual of [559, 436, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(8122, 557, F8, 41) (dual of [557, 435, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(8120, 550, F8, 41) (dual of [550, 430, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(8119, 548, F8, 41) (dual of [548, 429, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(8118, 545, F8, 41) (dual of [545, 427, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(8117, 543, F8, 41) (dual of [543, 426, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(8120, 555, F8, 41) (dual of [555, 435, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(8119, 551, F8, 41) (dual of [551, 432, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(8117, 546, F8, 41) (dual of [546, 429, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(8115, 541, F8, 41) (dual of [541, 426, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(8114, 537, F8, 41) (dual of [537, 423, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(8124, 547, F8, 43) (dual of [547, 423, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(8123, 544, F8, 43) (dual of [544, 421, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(8122, 542, F8, 43) (dual of [542, 420, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(8128, 549, F8, 44) (dual of [549, 421, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(8127, 547, F8, 44) (dual of [547, 420, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(8112, 532, F8, 41) (dual of [532, 420, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(8111, 529, F8, 41) (dual of [529, 418, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(8133, 556, F8, 45) (dual of [556, 423, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(8132, 553, F8, 45) (dual of [553, 421, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(8131, 551, F8, 45) (dual of [551, 420, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(8125, 545, F8, 44) (dual of [545, 420, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(8110, 527, F8, 41) (dual of [527, 417, 42]-code) | [i] | ✔ | |
| 25 | Linear OA(8109, 523, F8, 41) (dual of [523, 414, 42]-code) | [i] | ✔ | |
| 26 | Linear OA(8136, 556, F8, 46) (dual of [556, 420, 47]-code) | [i] | ✔ | |
| 27 | Linear OA(8129, 549, F8, 45) (dual of [549, 420, 46]-code) | [i] | ✔ | |
| 28 | Linear OA(8142, 565, F8, 47) (dual of [565, 423, 48]-code) | [i] | ✔ | |
| 29 | Linear OA(8141, 562, F8, 47) (dual of [562, 421, 48]-code) | [i] | ✔ | |
| 30 | Linear OA(8140, 560, F8, 47) (dual of [560, 420, 48]-code) | [i] | ✔ | |
| 31 | Linear OA(8134, 554, F8, 46) (dual of [554, 420, 47]-code) | [i] | ✔ | |
| 32 | Linear OA(8125, 537, F8, 45) (dual of [537, 412, 46]-code) | [i] | ✔ | |