Information on Result #611548
Linear OA(313, 81, F3, 5) (dual of [81, 68, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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(318, 86, F3, 7) (dual of [86, 68, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(313, 85, F3, 5) (dual of [85, 72, 6]-code) | [i] | ✔ | |
| 3 | Linear OA(324, 92, F3, 8) (dual of [92, 68, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(334, 99, F3, 11) (dual of [99, 65, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(323, 88, F3, 8) (dual of [88, 65, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(319, 88, F3, 7) (dual of [88, 69, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(324, 93, F3, 8) (dual of [93, 69, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |