Information on Result #714744
Linear OA(848, 63, F8, 36) (dual of [63, 15, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8111, 126, F8, 73) (dual of [126, 15, 74]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8110, 124, F8, 73) (dual of [124, 14, 74]-code) | [i] | ||
| 3 | Linear OA(8172, 186, F8, 110) (dual of [186, 14, 111]-code) | [i] | ||
| 4 | Linear OA(8109, 122, F8, 73) (dual of [122, 13, 74]-code) | [i] | ||
| 5 | Linear OA(8170, 183, F8, 110) (dual of [183, 13, 111]-code) | [i] | ||
| 6 | Linear OA(8108, 120, F8, 73) (dual of [120, 12, 74]-code) | [i] | ||
| 7 | Linear OA(8168, 180, F8, 110) (dual of [180, 12, 111]-code) | [i] | ||
| 8 | Linear OA(8107, 118, F8, 73) (dual of [118, 11, 74]-code) | [i] | ||
| 9 | Linear OA(8166, 177, F8, 110) (dual of [177, 11, 111]-code) | [i] | ||
| 10 | Linear OA(8106, 116, F8, 73) (dual of [116, 10, 74]-code) | [i] | ||
| 11 | Linear OA(8164, 174, F8, 110) (dual of [174, 10, 111]-code) | [i] | ||
| 12 | Linear OA(862, 88, F8, 36) (dual of [88, 26, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 13 | Linear OA(861, 83, F8, 38) (dual of [83, 22, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(860, 81, F8, 38) (dual of [81, 21, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(870, 91, F8, 44) (dual of [91, 21, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(865, 86, F8, 40) (dual of [86, 21, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(873, 93, F8, 45) (dual of [93, 20, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(873, 94, F8, 45) (dual of [94, 21, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(872, 91, F8, 45) (dual of [91, 19, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(869, 88, F8, 44) (dual of [88, 19, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(867, 86, F8, 43) (dual of [86, 19, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(877, 98, F8, 46) (dual of [98, 21, 47]-code) | [i] | ✔ | |
| 23 | Linear OA(876, 96, F8, 46) (dual of [96, 20, 47]-code) | [i] | ✔ | |
| 24 | Linear OA(867, 84, F8, 44) (dual of [84, 17, 45]-code) | [i] | ✔ | |
| 25 | Linear OA(877, 95, F8, 47) (dual of [95, 18, 48]-code) | [i] | ✔ | |
| 26 | Linear OA(869, 84, F8, 47) (dual of [84, 15, 48]-code) | [i] | ✔ | |
| 27 | Linear OA(888, 101, F8, 58) (dual of [101, 13, 59]-code) | [i] | ✔ | |