Information on Result #688819
Linear OA(863, 64, F8, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,8)), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(863, 64, F8, 62) (dual of [64, 1, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(863, 64, F8, 61) (dual of [64, 1, 62]-code) | [i] | ||
| 3 | Linear OA(863, 64, F8, 60) (dual of [64, 1, 61]-code) | [i] | ||
| 4 | Linear OA(863, 64, F8, 59) (dual of [64, 1, 60]-code) | [i] | ||
| 5 | Linear OA(863, 64, F8, 58) (dual of [64, 1, 59]-code) | [i] | ||
| 6 | Linear OA(863, 64, F8, 57) (dual of [64, 1, 58]-code) | [i] | ||
| 7 | Linear OA(895, 116, F8, 63) (dual of [116, 21, 64]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(8103, 141, F8, 63) (dual of [141, 38, 64]-code) | [i] | ||
| 9 | Linear OA(8111, 174, F8, 63) (dual of [174, 63, 64]-code) | [i] | ||
| 10 | Linear OA(8127, 274, F8, 63) (dual of [274, 147, 64]-code) | [i] | ||
| 11 | Linear OA(8140, 406, F8, 63) (dual of [406, 266, 64]-code) | [i] | ||
| 12 | Linear OA(8147, 505, F8, 63) (dual of [505, 358, 64]-code) | [i] | ||
| 13 | Linear OA(8163, 841, F8, 63) (dual of [841, 678, 64]-code) | [i] | ||
| 14 | Linear OA(8171, 1090, F8, 63) (dual of [1090, 919, 64]-code) | [i] | ||
| 15 | Linear OA(884, 92, F8, 63) (dual of [92, 8, 64]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(881, 88, F8, 62) (dual of [88, 7, 63]-code) | [i] | ✔ | |
| 17 | Linear OA(882, 90, F8, 62) (dual of [90, 8, 63]-code) | [i] | ✔ | |
| 18 | Linear OA(880, 88, F8, 61) (dual of [88, 8, 62]-code) | [i] | ✔ | |
| 19 | Linear OA(886, 95, F8, 63) (dual of [95, 9, 64]-code) | [i] | ✔ | |
| 20 | Linear OA(882, 91, F8, 61) (dual of [91, 9, 62]-code) | [i] | ✔ | |
| 21 | Linear OA(879, 88, F8, 59) (dual of [88, 9, 60]-code) | [i] | ✔ | |
| 22 | Linear OA(883, 91, F8, 63) (dual of [91, 8, 64]-code) | [i] | ✔ | |
| 23 | Linear OA(882, 89, F8, 63) (dual of [89, 7, 64]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(883, 92, F8, 62) (dual of [92, 9, 63]-code) | [i] | ✔ | |
| 25 | Linear OA(880, 89, F8, 60) (dual of [89, 9, 61]-code) | [i] | ✔ | |