Information on Result #615276
Linear OA(8133, 513, F8, 51) (dual of [513, 380, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8157, 538, F8, 51) (dual of [538, 381, 52]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8140, 520, F8, 53) (dual of [520, 380, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(8134, 520, F8, 51) (dual of [520, 386, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(8148, 523, F8, 55) (dual of [523, 375, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(8149, 529, F8, 55) (dual of [529, 380, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(8139, 527, F8, 51) (dual of [527, 388, 52]-code) | [i] | ✔ | |
| 7 | Linear OA(8140, 532, F8, 51) (dual of [532, 392, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(8138, 527, F8, 50) (dual of [527, 389, 51]-code) | [i] | ✔ | |
| 9 | Linear OA(8158, 538, F8, 57) (dual of [538, 380, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(8143, 537, F8, 51) (dual of [537, 394, 52]-code) | [i] | ✔ | |
| 11 | Linear OA(8144, 540, F8, 51) (dual of [540, 396, 52]-code) | [i] | ✔ | |
| 12 | Linear OA(8145, 542, F8, 51) (dual of [542, 397, 52]-code) | [i] | ✔ | |
| 13 | Linear OA(8146, 544, F8, 51) (dual of [544, 398, 52]-code) | [i] | ✔ | |
| 14 | Linear OA(8142, 537, F8, 50) (dual of [537, 395, 51]-code) | [i] | ✔ | |
| 15 | Linear OA(8144, 542, F8, 50) (dual of [542, 398, 51]-code) | [i] | ✔ | |
| 16 | Linear OA(8170, 550, F8, 59) (dual of [550, 380, 60]-code) | [i] | ✔ | |
| 17 | Linear OA(8168, 548, F8, 58) (dual of [548, 380, 59]-code) | [i] | ✔ | |
| 18 | Linear OA(8148, 552, F8, 51) (dual of [552, 404, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(8151, 561, F8, 51) (dual of [561, 410, 52]-code) | [i] | ✔ | |
| 20 | Linear OA(8149, 559, F8, 50) (dual of [559, 410, 51]-code) | [i] | ✔ | |
| 21 | Linear OA(8155, 571, F8, 51) (dual of [571, 416, 52]-code) | [i] | ✔ | |
| 22 | Linear OA(8153, 569, F8, 50) (dual of [569, 416, 51]-code) | [i] | ✔ | |
| 23 | Linear OA(8169, 547, F8, 59) (dual of [547, 378, 60]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 24 | Linear OA(8168, 545, F8, 59) (dual of [545, 377, 60]-code) | [i] | ✔ | |
| 25 | Linear OA(8167, 543, F8, 59) (dual of [543, 376, 60]-code) | [i] | ✔ | |
| 26 | Linear OA(8166, 541, F8, 59) (dual of [541, 375, 60]-code) | [i] | ✔ | |
| 27 | Linear OA(8157, 532, F8, 57) (dual of [532, 375, 58]-code) | [i] | ✔ | |
| 28 | Linear OA(8163, 547, F8, 57) (dual of [547, 384, 58]-code) | [i] | ✔ | |
| 29 | Linear OA(8162, 545, F8, 57) (dual of [545, 383, 58]-code) | [i] | ✔ | |
| 30 | Linear OA(8161, 543, F8, 57) (dual of [543, 382, 58]-code) | [i] | ✔ | |
| 31 | Linear OA(8160, 541, F8, 57) (dual of [541, 381, 58]-code) | [i] | ✔ | |
| 32 | Linear OA(8151, 532, F8, 55) (dual of [532, 381, 56]-code) | [i] | ✔ | |
| 33 | Linear OA(8138, 525, F8, 51) (dual of [525, 387, 52]-code) | [i] | ✔ | |
| 34 | Linear OA(8142, 535, F8, 51) (dual of [535, 393, 52]-code) | [i] | ✔ | |
| 35 | Linear OA(8146, 545, F8, 50) (dual of [545, 399, 51]-code) | [i] | ✔ | |