Information on Result #615318
Linear OA(8145, 513, F8, 55) (dual of [513, 368, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (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(8171, 540, F8, 55) (dual of [540, 369, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8152, 520, F8, 57) (dual of [520, 368, 58]-code) | [i] | ✔ | |
| 3 | Linear OA(8146, 520, F8, 55) (dual of [520, 374, 56]-code) | [i] | ✔ | |
| 4 | Linear OA(8160, 523, F8, 59) (dual of [523, 363, 60]-code) | [i] | ✔ | |
| 5 | Linear OA(8161, 529, F8, 59) (dual of [529, 368, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(8148, 523, F8, 55) (dual of [523, 375, 56]-code) | [i] | ✔ | |
| 7 | Linear OA(8149, 529, F8, 55) (dual of [529, 380, 56]-code) | [i] | ✔ | |
| 8 | Linear OA(8170, 538, F8, 61) (dual of [538, 368, 62]-code) | [i] | ✔ | |
| 9 | Linear OA(8152, 538, F8, 55) (dual of [538, 386, 56]-code) | [i] | ✔ | |
| 10 | Linear OA(8160, 552, F8, 55) (dual of [552, 392, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(8163, 561, F8, 55) (dual of [561, 398, 56]-code) | [i] | ✔ | |
| 12 | Linear OA(8161, 559, F8, 54) (dual of [559, 398, 55]-code) | [i] | ✔ | |
| 13 | Linear OA(8169, 532, F8, 61) (dual of [532, 363, 62]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 14 | Linear OA(8173, 544, F8, 60) (dual of [544, 371, 61]-code) | [i] | ✔ | |
| 15 | Linear OA(8173, 543, F8, 61) (dual of [543, 370, 62]-code) | [i] | ✔ | |
| 16 | Linear OA(8172, 541, F8, 61) (dual of [541, 369, 62]-code) | [i] | ✔ | |
| 17 | Linear OA(8163, 532, F8, 59) (dual of [532, 369, 60]-code) | [i] | ✔ | |
| 18 | Linear OA(8151, 532, F8, 55) (dual of [532, 381, 56]-code) | [i] | ✔ | |
| 19 | Linear OA(8159, 549, F8, 55) (dual of [549, 390, 56]-code) | [i] | ✔ | |
| 20 | Linear OA(8158, 547, F8, 55) (dual of [547, 389, 56]-code) | [i] | ✔ | |
| 21 | Linear OA(8157, 545, F8, 55) (dual of [545, 388, 56]-code) | [i] | ✔ | |
| 22 | Linear OA(8156, 543, F8, 55) (dual of [543, 387, 56]-code) | [i] | ✔ | |