Information on Result #714809
Linear OA(854, 63, F8, 44) (dual of [63, 9, 45]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−8,−7,…,35}, and designed minimum distance d ≥ |I|+1 = 45
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(854, 63, F8, 43) (dual of [63, 9, 44]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(854, 63, F8, 42) (dual of [63, 9, 43]-code) | [i] | ||
| 3 | Linear OA(8117, 126, F8, 89) (dual of [126, 9, 90]-code) | [i] | Repeating Each Code Word | |
| 4 | Linear OA(8116, 124, F8, 89) (dual of [124, 8, 90]-code) | [i] | ||
| 5 | Linear OA(8115, 122, F8, 89) (dual of [122, 7, 90]-code) | [i] | ||
| 6 | Linear OA(8114, 120, F8, 89) (dual of [120, 6, 90]-code) | [i] | ||
| 7 | Linear OA(8127, 134, F8, 99) (dual of [134, 7, 100]-code) | [i] | Juxtaposition | |
| 8 | Linear OA(8128, 137, F8, 96) (dual of [137, 9, 97]-code) | [i] | ||
| 9 | Linear OA(8133, 142, F8, 100) (dual of [142, 9, 101]-code) | [i] | ||
| 10 | Linear OA(8127, 135, F8, 97) (dual of [135, 8, 98]-code) | [i] | ||
| 11 | Linear OA(8127, 136, F8, 96) (dual of [136, 9, 97]-code) | [i] | ||
| 12 | Linear OA(8170, 179, F8, 130) (dual of [179, 9, 131]-code) | [i] | ||
| 13 | Linear OA(8171, 178, F8, 135) (dual of [178, 7, 136]-code) | [i] | ||
| 14 | Linear OA(8171, 177, F8, 140) (dual of [177, 6, 141]-code) | [i] | ||
| 15 | Linear OA(8132, 141, F8, 100) (dual of [141, 9, 101]-code) | [i] | ||
| 16 | Linear OA(870, 91, F8, 44) (dual of [91, 21, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 17 | Linear OA(865, 86, F8, 40) (dual of [86, 21, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(869, 88, F8, 44) (dual of [88, 19, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(867, 86, F8, 43) (dual of [86, 19, 44]-code) | [i] | ✔ | |
| 20 | Linear OA(867, 84, F8, 44) (dual of [84, 17, 45]-code) | [i] | ✔ | |
| 21 | Linear OOA(854, 31, F8, 2, 44) (dual of [(31, 2), 8, 45]-NRT-code) | [i] | OOA Folding | |