Information on Result #677048
Linear OA(324, 728, F3, 6) (dual of [728, 704, 7]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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 OOA(324, 610, F3, 2, 6) (dual of [(610, 2), 1196, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(324, 610, F3, 3, 6) (dual of [(610, 3), 1806, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(324, 610, F3, 4, 6) (dual of [(610, 4), 2416, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(324, 610, F3, 5, 6) (dual of [(610, 5), 3026, 7]-NRT-code) | [i] | ||
| 5 | Linear OA(333, 743, F3, 8) (dual of [743, 710, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(348, 752, F3, 11) (dual of [752, 704, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(332, 737, F3, 8) (dual of [737, 705, 9]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 8 | Linear OOA(324, 364, F3, 2, 6) (dual of [(364, 2), 704, 7]-NRT-code) | [i] | OOA Folding | |