Information on Result #687953
Linear OA(8133, 512, F8, 51) (dual of [512, 379, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8136, 515, F8, 52) (dual of [515, 379, 53]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8133, 515, F8, 51) (dual of [515, 382, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(8144, 521, F8, 54) (dual of [521, 377, 55]-code) | [i] | ✔ | |
| 4 | Linear OA(8145, 524, F8, 54) (dual of [524, 379, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(8137, 525, F8, 51) (dual of [525, 388, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(8139, 530, F8, 51) (dual of [530, 391, 52]-code) | [i] | ✔ | |
| 7 | Linear OA(8155, 534, F8, 57) (dual of [534, 379, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(8140, 534, F8, 51) (dual of [534, 394, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(8161, 538, F8, 58) (dual of [538, 377, 59]-code) | [i] | ✔ | |
| 10 | Linear OA(8162, 541, F8, 58) (dual of [541, 379, 59]-code) | [i] | ✔ | |
| 11 | Linear OA(8143, 538, F8, 51) (dual of [538, 395, 52]-code) | [i] | ✔ | |
| 12 | Linear OA(8144, 541, F8, 51) (dual of [541, 397, 52]-code) | [i] | ✔ | |
| 13 | Linear OA(8167, 546, F8, 59) (dual of [546, 379, 60]-code) | [i] | ✔ | |
| 14 | Linear OA(8146, 546, F8, 51) (dual of [546, 400, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(8171, 550, F8, 60) (dual of [550, 379, 61]-code) | [i] | ✔ | |
| 16 | Linear OA(8147, 550, F8, 51) (dual of [550, 403, 52]-code) | [i] | ✔ | |
| 17 | Linear OA(8148, 554, F8, 51) (dual of [554, 406, 52]-code) | [i] | ✔ | |
| 18 | Linear OA(8153, 565, F8, 51) (dual of [565, 412, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(8157, 575, F8, 51) (dual of [575, 418, 52]-code) | [i] | ✔ | |
| 20 | Linear OA(8166, 543, F8, 59) (dual of [543, 377, 60]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(8161, 540, F8, 58) (dual of [540, 379, 59]-code) | [i] | ✔ | |
| 22 | Linear OA(8160, 538, F8, 58) (dual of [538, 378, 59]-code) | [i] | ✔ | |
| 23 | Linear OA(8159, 536, F8, 58) (dual of [536, 377, 59]-code) | [i] | ✔ | |
| 24 | Linear OA(8153, 530, F8, 56) (dual of [530, 377, 57]-code) | [i] | ✔ | |
| 25 | Linear OA(8158, 540, F8, 57) (dual of [540, 382, 58]-code) | [i] | ✔ | |
| 26 | Linear OA(8157, 538, F8, 57) (dual of [538, 381, 58]-code) | [i] | ✔ | |
| 27 | Linear OA(8156, 536, F8, 57) (dual of [536, 380, 58]-code) | [i] | ✔ | |
| 28 | Linear OA(8160, 543, F8, 57) (dual of [543, 383, 58]-code) | [i] | ✔ | |
| 29 | Linear OA(8138, 527, F8, 51) (dual of [527, 389, 52]-code) | [i] | ✔ | |
| 30 | Linear OA(8143, 540, F8, 51) (dual of [540, 397, 52]-code) | [i] | ✔ | |
| 31 | Linear OA(8142, 538, F8, 51) (dual of [538, 396, 52]-code) | [i] | ✔ | |
| 32 | Linear OA(8141, 536, F8, 51) (dual of [536, 395, 52]-code) | [i] | ✔ | |
| 33 | Linear OA(8145, 543, F8, 51) (dual of [543, 398, 52]-code) | [i] | ✔ | |