Information on Result #714459
Linear OA(820, 63, F8, 12) (dual of [63, 43, 13]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13
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 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(8159, 569, F8, 52) (dual of [569, 410, 53]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(8153, 569, F8, 50) (dual of [569, 416, 51]-code) | [i] | ||
| 3 | Linear OA(8147, 569, F8, 48) (dual of [569, 422, 49]-code) | [i] | ||
| 4 | Linear OA(8135, 569, F8, 42) (dual of [569, 434, 43]-code) | [i] | ||
| 5 | Linear OA(8129, 569, F8, 40) (dual of [569, 440, 41]-code) | [i] | ||
| 6 | Linear OA(8123, 569, F8, 38) (dual of [569, 446, 39]-code) | [i] | ||
| 7 | Linear OA(8117, 569, F8, 36) (dual of [569, 452, 37]-code) | [i] | ||
| 8 | Linear OA(8147, 575, F8, 46) (dual of [575, 428, 47]-code) | [i] | ||
| 9 | Linear OA(823, 73, F8, 12) (dual of [73, 50, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(820, 67, F8, 12) (dual of [67, 47, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(822, 67, F8, 13) (dual of [67, 45, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(8171, 565, F8, 58) (dual of [565, 394, 59]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 13 | Linear OA(8168, 565, F8, 57) (dual of [565, 397, 58]-code) | [i] | ||
| 14 | Linear OA(8156, 565, F8, 52) (dual of [565, 409, 53]-code) | [i] | ||
| 15 | Linear OA(8153, 565, F8, 51) (dual of [565, 412, 52]-code) | [i] | ||
| 16 | Linear OA(8150, 565, F8, 50) (dual of [565, 415, 51]-code) | [i] | ||
| 17 | Linear OA(8147, 565, F8, 49) (dual of [565, 418, 50]-code) | [i] | ||
| 18 | Linear OA(8135, 565, F8, 44) (dual of [565, 430, 45]-code) | [i] | ||
| 19 | Linear OA(8132, 565, F8, 43) (dual of [565, 433, 44]-code) | [i] | ||
| 20 | Linear OA(8129, 565, F8, 42) (dual of [565, 436, 43]-code) | [i] | ||
| 21 | Linear OA(8126, 565, F8, 41) (dual of [565, 439, 42]-code) | [i] | ||
| 22 | Linear OA(8114, 565, F8, 36) (dual of [565, 451, 37]-code) | [i] | ||
| 23 | Linear OA(8111, 565, F8, 35) (dual of [565, 454, 36]-code) | [i] | ||
| 24 | Linear OA(8108, 565, F8, 34) (dual of [565, 457, 35]-code) | [i] | ||
| 25 | Linear OA(8105, 565, F8, 33) (dual of [565, 460, 34]-code) | [i] | ||
| 26 | Linear OA(8165, 568, F8, 55) (dual of [568, 403, 56]-code) | [i] | ||
| 27 | Linear OA(8162, 568, F8, 54) (dual of [568, 406, 55]-code) | [i] | ||
| 28 | Linear OA(8144, 568, F8, 47) (dual of [568, 424, 48]-code) | [i] | ||
| 29 | Linear OA(8141, 568, F8, 46) (dual of [568, 427, 47]-code) | [i] | ||
| 30 | Linear OA(8126, 568, F8, 40) (dual of [568, 442, 41]-code) | [i] | ||
| 31 | Linear OA(8123, 568, F8, 39) (dual of [568, 445, 40]-code) | [i] | ||
| 32 | Linear OA(8120, 568, F8, 38) (dual of [568, 448, 39]-code) | [i] | ||