Information on Result #714487
Linear OA(822, 63, F8, 13) (dual of [63, 41, 14]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {7,8,…,19}, and designed minimum distance d ≥ |I|+1 = 14
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8161, 571, F8, 53) (dual of [571, 410, 54]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(8155, 571, F8, 51) (dual of [571, 416, 52]-code) | [i] | ||
| 3 | Linear OA(8149, 571, F8, 49) (dual of [571, 422, 50]-code) | [i] | ||
| 4 | Linear OA(8137, 571, F8, 43) (dual of [571, 434, 44]-code) | [i] | ||
| 5 | Linear OA(8131, 571, F8, 41) (dual of [571, 440, 42]-code) | [i] | ||
| 6 | Linear OA(8125, 571, F8, 39) (dual of [571, 446, 40]-code) | [i] | ||
| 7 | Linear OA(8119, 571, F8, 37) (dual of [571, 452, 38]-code) | [i] | ||
| 8 | Linear OA(8113, 571, F8, 35) (dual of [571, 458, 36]-code) | [i] | ||
| 9 | Linear OA(839, 82, F8, 20) (dual of [82, 43, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(851, 89, F8, 26) (dual of [89, 38, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(853, 91, F8, 27) (dual of [91, 38, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(8158, 570, F8, 52) (dual of [570, 412, 53]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 13 | Linear OA(8152, 570, F8, 50) (dual of [570, 418, 51]-code) | [i] | ||
| 14 | Linear OA(8140, 570, F8, 45) (dual of [570, 430, 46]-code) | [i] | ||
| 15 | Linear OA(8137, 570, F8, 44) (dual of [570, 433, 45]-code) | [i] | ||
| 16 | Linear OA(8134, 570, F8, 43) (dual of [570, 436, 44]-code) | [i] | ||
| 17 | Linear OA(8131, 570, F8, 42) (dual of [570, 439, 43]-code) | [i] | ||
| 18 | Linear OA(8128, 570, F8, 41) (dual of [570, 442, 42]-code) | [i] | ||
| 19 | Linear OA(8116, 570, F8, 36) (dual of [570, 454, 37]-code) | [i] | ||
| 20 | Linear OA(8149, 573, F8, 48) (dual of [573, 424, 49]-code) | [i] | ||
| 21 | Linear OA(8146, 573, F8, 47) (dual of [573, 427, 48]-code) | [i] | ||
| 22 | Linear OA(8128, 573, F8, 40) (dual of [573, 445, 41]-code) | [i] | ||
| 23 | Linear OA(8125, 573, F8, 39) (dual of [573, 448, 40]-code) | [i] | ||