Information on Result #614260
Linear OA(716, 343, F7, 6) (dual of [343, 327, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,5], 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(719, 351, F7, 6) (dual of [351, 332, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(720, 347, F7, 8) (dual of [347, 327, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(716, 346, F7, 6) (dual of [346, 330, 7]-code) | [i] | ✔ | |
| 4 | Linear OA(724, 351, F7, 9) (dual of [351, 327, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(717, 350, F7, 6) (dual of [350, 333, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(729, 356, F7, 10) (dual of [356, 327, 11]-code) | [i] | ✔ | |
| 7 | Linear OA(719, 355, F7, 6) (dual of [355, 336, 7]-code) | [i] | ✔ | |
| 8 | Linear OA(737, 362, F7, 12) (dual of [362, 325, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(733, 358, F7, 11) (dual of [358, 325, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(728, 353, F7, 10) (dual of [353, 325, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(717, 351, F7, 6) (dual of [351, 334, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |