Information on Result #714915
Linear OA(8127, 511, F8, 49) (dual of [511, 384, 50]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8153, 578, F8, 49) (dual of [578, 425, 50]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8159, 558, F8, 55) (dual of [558, 399, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(8158, 554, F8, 55) (dual of [554, 396, 56]-code) | [i] | ✔ | |
| 4 | Linear OA(8145, 535, F8, 53) (dual of [535, 390, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(8168, 567, F8, 57) (dual of [567, 399, 58]-code) | [i] | ✔ | |
| 6 | Linear OA(8166, 565, F8, 56) (dual of [565, 399, 57]-code) | [i] | ✔ | |
| 7 | Linear OA(8167, 562, F8, 57) (dual of [562, 395, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(8165, 557, F8, 57) (dual of [557, 392, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(8156, 549, F8, 55) (dual of [549, 393, 56]-code) | [i] | ✔ | |
| 10 | Linear OA(8144, 531, F8, 53) (dual of [531, 387, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(8167, 563, F8, 57) (dual of [563, 396, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(8154, 544, F8, 55) (dual of [544, 390, 56]-code) | [i] | ✔ | |
| 13 | Linear OA(8165, 558, F8, 57) (dual of [558, 393, 58]-code) | [i] | ✔ | |
| 14 | Linear OA(8163, 556, F8, 56) (dual of [556, 393, 57]-code) | [i] | ✔ | |
| 15 | Linear OA(8162, 548, F8, 57) (dual of [548, 386, 58]-code) | [i] | ✔ | |
| 16 | Linear OA(8153, 540, F8, 55) (dual of [540, 387, 56]-code) | [i] | ✔ | |
| 17 | Linear OA(8163, 553, F8, 57) (dual of [553, 390, 58]-code) | [i] | ✔ | |
| 18 | Linear OA(8161, 551, F8, 56) (dual of [551, 390, 57]-code) | [i] | ✔ | |
| 19 | Linear OA(8162, 549, F8, 57) (dual of [549, 387, 58]-code) | [i] | ✔ | |
| 20 | Linear OA(8160, 547, F8, 56) (dual of [547, 387, 57]-code) | [i] | ✔ | |
| 21 | Linear OA(8133, 517, F8, 51) (dual of [517, 384, 52]-code) | [i] | ✔ | |
| 22 | Linear OA(8137, 521, F8, 52) (dual of [521, 384, 53]-code) | [i] | ✔ | |
| 23 | Linear OA(8142, 526, F8, 53) (dual of [526, 384, 54]-code) | [i] | ✔ | |
| 24 | Linear OA(8141, 523, F8, 53) (dual of [523, 382, 54]-code) | [i] | ✔ | |
| 25 | Linear OA(8146, 530, F8, 54) (dual of [530, 384, 55]-code) | [i] | ✔ | |
| 26 | Linear OA(8151, 535, F8, 55) (dual of [535, 384, 56]-code) | [i] | ✔ | |
| 27 | Linear OA(8155, 539, F8, 56) (dual of [539, 384, 57]-code) | [i] | ✔ | |
| 28 | Linear OA(8164, 548, F8, 58) (dual of [548, 384, 59]-code) | [i] | ✔ | |
| 29 | Linear OA(8141, 525, F8, 53) (dual of [525, 384, 54]-code) | [i] | ✔ | |
| 30 | Linear OA(8145, 527, F8, 54) (dual of [527, 382, 55]-code) | [i] | ✔ | |
| 31 | Linear OA(8150, 534, F8, 55) (dual of [534, 384, 56]-code) | [i] | ✔ | |
| 32 | Linear OA(8168, 552, F8, 59) (dual of [552, 384, 60]-code) | [i] | ✔ | |
| 33 | Linear OA(8167, 547, F8, 59) (dual of [547, 380, 60]-code) | [i] | ✔ | |
| 34 | Linear OA(8166, 545, F8, 59) (dual of [545, 379, 60]-code) | [i] | ✔ | |
| 35 | Linear OA(8165, 542, F8, 59) (dual of [542, 377, 60]-code) | [i] | ✔ | |
| 36 | Linear OA(8170, 547, F8, 60) (dual of [547, 377, 61]-code) | [i] | ✔ | |