Information on Result #611798
Linear OA(351, 122, F3, 17) (dual of [122, 71, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(357, 128, F3, 19) (dual of [128, 71, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(351, 127, F3, 17) (dual of [127, 76, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(355, 132, F3, 17) (dual of [132, 77, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(363, 130, F3, 20) (dual of [130, 67, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(358, 130, F3, 19) (dual of [130, 72, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(355, 133, F3, 17) (dual of [133, 78, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(354, 131, F3, 17) (dual of [131, 77, 18]-code) | [i] | ✔ | |