Information on Result #716161
Linear OA(8109, 511, F8, 42) (dual of [511, 402, 43]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,74}, and designed minimum distance d ≥ |I|+1 = 43
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 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]
- 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 OA(8117, 538, F8, 42) (dual of [538, 421, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8116, 536, F8, 42) (dual of [536, 420, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(8115, 532, F8, 42) (dual of [532, 417, 43]-code) | [i] | ✔ | |
| 4 | Linear OA(8114, 528, F8, 42) (dual of [528, 414, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(8114, 529, F8, 42) (dual of [529, 415, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(8113, 526, F8, 42) (dual of [526, 413, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(8113, 527, F8, 42) (dual of [527, 414, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(8112, 524, F8, 42) (dual of [524, 412, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(8111, 522, F8, 42) (dual of [522, 411, 43]-code) | [i] | ✔ | |
| 10 | Linear OA(8110, 518, F8, 42) (dual of [518, 408, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(8145, 562, F8, 49) (dual of [562, 417, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(8144, 559, F8, 49) (dual of [559, 415, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(8143, 557, F8, 49) (dual of [557, 414, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(8141, 550, F8, 49) (dual of [550, 409, 50]-code) | [i] | ✔ | |
| 15 | Linear OA(8140, 548, F8, 49) (dual of [548, 408, 50]-code) | [i] | ✔ | |
| 16 | Linear OA(8139, 545, F8, 49) (dual of [545, 406, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(8138, 543, F8, 49) (dual of [543, 405, 50]-code) | [i] | ✔ | |
| 18 | Linear OA(8145, 547, F8, 51) (dual of [547, 402, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(8144, 544, F8, 51) (dual of [544, 400, 52]-code) | [i] | ✔ | |
| 20 | Linear OA(8143, 542, F8, 51) (dual of [542, 399, 52]-code) | [i] | ✔ | |
| 21 | Linear OA(8149, 549, F8, 52) (dual of [549, 400, 53]-code) | [i] | ✔ | |
| 22 | Linear OA(8148, 547, F8, 52) (dual of [547, 399, 53]-code) | [i] | ✔ | |
| 23 | Linear OA(8154, 556, F8, 53) (dual of [556, 402, 54]-code) | [i] | ✔ | |
| 24 | Linear OA(8153, 553, F8, 53) (dual of [553, 400, 54]-code) | [i] | ✔ | |
| 25 | Linear OA(8152, 551, F8, 53) (dual of [551, 399, 54]-code) | [i] | ✔ | |
| 26 | Linear OA(8157, 556, F8, 54) (dual of [556, 399, 55]-code) | [i] | ✔ | |
| 27 | Linear OA(8163, 565, F8, 55) (dual of [565, 402, 56]-code) | [i] | ✔ | |
| 28 | Linear OA(8162, 562, F8, 55) (dual of [562, 400, 56]-code) | [i] | ✔ | |
| 29 | Linear OA(8161, 560, F8, 55) (dual of [560, 399, 56]-code) | [i] | ✔ | |
| 30 | Linear OA(8167, 565, F8, 56) (dual of [565, 398, 57]-code) | [i] | ✔ | |
| 31 | Linear OA(8165, 560, F8, 56) (dual of [560, 395, 57]-code) | [i] | ✔ | |