Information on Result #687617
Linear OA(8163, 513, F8, 61) (dual of [513, 350, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (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(8172, 522, F8, 65) (dual of [522, 350, 66]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8164, 520, F8, 61) (dual of [520, 356, 62]-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(8170, 538, F8, 61) (dual of [538, 368, 62]-code) | [i] | ✔ | |
| 6 | Linear OA(8173, 524, F8, 64) (dual of [524, 351, 65]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 7 | Linear OA(8169, 532, F8, 61) (dual of [532, 363, 62]-code) | [i] | ✔ | |
| 8 | Linear OA(8173, 544, F8, 60) (dual of [544, 371, 61]-code) | [i] | ✔ | |
| 9 | Linear OA(8173, 543, F8, 61) (dual of [543, 370, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(8172, 541, F8, 61) (dual of [541, 369, 62]-code) | [i] | ✔ | |