Information on Result #611532
Linear OA(313, 729, F3, 4) (dual of [729, 716, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(319, 735, F3, 5) (dual of [735, 716, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(326, 742, F3, 6) (dual of [742, 716, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(320, 737, F3, 5) (dual of [737, 717, 6]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(326, 743, F3, 6) (dual of [743, 717, 7]-code) | [i] | ✔ | |