Information on Result #687621
Linear OA(8151, 513, F8, 57) (dual of [513, 362, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (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(8158, 520, F8, 59) (dual of [520, 362, 60]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8152, 520, F8, 57) (dual of [520, 368, 58]-code) | [i] | ✔ | |
| 3 | Linear OA(8166, 523, F8, 61) (dual of [523, 357, 62]-code) | [i] | ✔ | |
| 4 | Linear OA(8167, 529, F8, 61) (dual of [529, 362, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(8154, 523, F8, 57) (dual of [523, 369, 58]-code) | [i] | ✔ | |
| 6 | Linear OA(8155, 529, F8, 57) (dual of [529, 374, 58]-code) | [i] | ✔ | |
| 7 | Linear OA(8158, 538, F8, 57) (dual of [538, 380, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(8164, 550, F8, 57) (dual of [550, 386, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(8162, 548, F8, 56) (dual of [548, 386, 57]-code) | [i] | ✔ | |
| 10 | Linear OA(8169, 561, F8, 57) (dual of [561, 392, 58]-code) | [i] | ✔ | |
| 11 | Linear OA(8167, 559, F8, 56) (dual of [559, 392, 57]-code) | [i] | ✔ | |
| 12 | Linear OA(8169, 532, F8, 61) (dual of [532, 363, 62]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 13 | Linear OA(8157, 532, F8, 57) (dual of [532, 375, 58]-code) | [i] | ✔ | |
| 14 | Linear OA(8163, 547, F8, 57) (dual of [547, 384, 58]-code) | [i] | ✔ | |
| 15 | Linear OA(8162, 545, F8, 57) (dual of [545, 383, 58]-code) | [i] | ✔ | |
| 16 | Linear OA(8161, 543, F8, 57) (dual of [543, 382, 58]-code) | [i] | ✔ | |
| 17 | Linear OA(8160, 541, F8, 57) (dual of [541, 381, 58]-code) | [i] | ✔ | |