Information on Result #612714
Linear OA(431, 64, F4, 14) (dual of [64, 33, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(434, 67, F4, 15) (dual of [67, 33, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(431, 67, F4, 14) (dual of [67, 36, 15]-code) | [i] | ✔ | |
| 3 | Linear OA(445, 78, F4, 21) (dual of [78, 33, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(443, 76, F4, 20) (dual of [76, 33, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(447, 80, F4, 22) (dual of [80, 33, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(453, 86, F4, 23) (dual of [86, 33, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(459, 92, F4, 26) (dual of [92, 33, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(461, 96, F4, 26) (dual of [96, 35, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(460, 94, F4, 26) (dual of [94, 34, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(451, 82, F4, 23) (dual of [82, 31, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(448, 82, F4, 22) (dual of [82, 34, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(444, 75, F4, 21) (dual of [75, 31, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(439, 70, F4, 17) (dual of [70, 31, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(433, 70, F4, 14) (dual of [70, 37, 15]-code) | [i] | ✔ | |