Information on Result #714900
Linear OA(8112, 511, F8, 43) (dual of [511, 399, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44
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]
- 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8138, 578, F8, 43) (dual of [578, 440, 44]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8139, 580, F8, 43) (dual of [580, 441, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(8120, 525, F8, 45) (dual of [525, 405, 46]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(8115, 517, F8, 44) (dual of [517, 402, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(8124, 527, F8, 46) (dual of [527, 403, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(8119, 521, F8, 45) (dual of [521, 402, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(8153, 567, F8, 51) (dual of [567, 414, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(8150, 557, F8, 51) (dual of [557, 407, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(8129, 534, F8, 47) (dual of [534, 405, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(8123, 523, F8, 46) (dual of [523, 400, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(8157, 568, F8, 52) (dual of [568, 411, 53]-code) | [i] | ✔ | |
| 12 | Linear OA(8152, 563, F8, 51) (dual of [563, 411, 52]-code) | [i] | ✔ | |
| 13 | Linear OA(8128, 530, F8, 47) (dual of [530, 402, 48]-code) | [i] | ✔ | |
| 14 | Linear OA(8150, 558, F8, 51) (dual of [558, 408, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(8133, 535, F8, 48) (dual of [535, 402, 49]-code) | [i] | ✔ | |
| 16 | Linear OA(8147, 552, F8, 51) (dual of [552, 405, 52]-code) | [i] | ✔ | |
| 17 | Linear OA(8146, 547, F8, 51) (dual of [547, 401, 52]-code) | [i] | ✔ | |
| 18 | Linear OA(8145, 545, F8, 51) (dual of [545, 400, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(8144, 542, F8, 51) (dual of [542, 398, 52]-code) | [i] | ✔ | |
| 20 | Linear OA(8146, 548, F8, 51) (dual of [548, 402, 52]-code) | [i] | ✔ | |
| 21 | Linear OA(8118, 517, F8, 45) (dual of [517, 399, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(8122, 521, F8, 46) (dual of [521, 399, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(8126, 523, F8, 47) (dual of [523, 397, 48]-code) | [i] | ✔ | |
| 24 | Linear OA(8131, 530, F8, 48) (dual of [530, 399, 49]-code) | [i] | ✔ | |
| 25 | Linear OA(8149, 548, F8, 52) (dual of [548, 399, 53]-code) | [i] | ✔ | |
| 26 | Linear OA(8126, 525, F8, 47) (dual of [525, 399, 48]-code) | [i] | ✔ | |
| 27 | Linear OA(8130, 527, F8, 48) (dual of [527, 397, 49]-code) | [i] | ✔ | |
| 28 | Linear OA(8153, 552, F8, 53) (dual of [552, 399, 54]-code) | [i] | ✔ | |
| 29 | Linear OA(8151, 545, F8, 53) (dual of [545, 394, 54]-code) | [i] | ✔ | |
| 30 | Linear OA(8150, 542, F8, 53) (dual of [542, 392, 54]-code) | [i] | ✔ | |
| 31 | Linear OA(8155, 547, F8, 54) (dual of [547, 392, 55]-code) | [i] | ✔ | |
| 32 | Linear OA(8162, 561, F8, 55) (dual of [561, 399, 56]-code) | [i] | ✔ | |
| 33 | Linear OA(8159, 551, F8, 55) (dual of [551, 392, 56]-code) | [i] | ✔ | |
| 34 | Linear OA(8159, 558, F8, 55) (dual of [558, 399, 56]-code) | [i] | ✔ | |
| 35 | Linear OA(8168, 567, F8, 57) (dual of [567, 399, 58]-code) | [i] | ✔ | |
| 36 | Linear OA(8166, 565, F8, 56) (dual of [565, 399, 57]-code) | [i] | ✔ | |
| 37 | Linear OA(8167, 562, F8, 57) (dual of [562, 395, 58]-code) | [i] | ✔ | |
| 38 | Linear OA(8165, 557, F8, 57) (dual of [557, 392, 58]-code) | [i] | ✔ | |