Information on Result #714794
Linear OA(855, 63, F8, 45) (dual of [63, 8, 46]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46
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 Expurgated 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(8118, 126, F8, 91) (dual of [126, 8, 92]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8117, 124, F8, 91) (dual of [124, 7, 92]-code) | [i] | ||
| 3 | Linear OA(8116, 122, F8, 91) (dual of [122, 6, 92]-code) | [i] | ||
| 4 | Linear OA(8128, 135, F8, 100) (dual of [135, 7, 101]-code) | [i] | Juxtaposition | |
| 5 | Linear OA(8128, 136, F8, 98) (dual of [136, 8, 99]-code) | [i] | ||
| 6 | Linear OA(8172, 179, F8, 136) (dual of [179, 7, 137]-code) | [i] | ||
| 7 | Linear OA(8172, 178, F8, 141) (dual of [178, 6, 142]-code) | [i] | ||
| 8 | Linear OA(877, 100, F8, 45) (dual of [100, 23, 46]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(876, 97, F8, 45) (dual of [97, 21, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(875, 97, F8, 45) (dual of [97, 22, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(874, 94, F8, 45) (dual of [94, 20, 46]-code) | [i] | ✔ | |