Information on Result #677047
Linear OA(331, 728, F3, 8) (dual of [728, 697, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(337, 740, F3, 9) (dual of [740, 703, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(347, 750, F3, 11) (dual of [750, 703, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(346, 747, F3, 11) (dual of [747, 701, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(354, 754, F3, 12) (dual of [754, 700, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(354, 751, F3, 13) (dual of [751, 697, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(351, 748, F3, 12) (dual of [748, 697, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(353, 748, F3, 13) (dual of [748, 695, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(361, 755, F3, 14) (dual of [755, 694, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(332, 737, F3, 8) (dual of [737, 705, 9]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |