Information on Result #704124
Linear OA(319, 728, F3, 5) (dual of [728, 709, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(319, 660, F3, 2, 5) (dual of [(660, 2), 1301, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(319, 660, F3, 3, 5) (dual of [(660, 3), 1961, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(319, 660, F3, 4, 5) (dual of [(660, 4), 2621, 6]-NRT-code) | [i] | ||
| 4 | Linear OA(325, 740, F3, 6) (dual of [740, 715, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(334, 747, F3, 8) (dual of [747, 713, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(339, 748, F3, 9) (dual of [748, 709, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(341, 748, F3, 10) (dual of [748, 707, 11]-code) | [i] | ✔ | |