Information on Result #614227
Linear OA(710, 343, F7, 4) (dual of [343, 333, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, 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(710, 346, F7, 4) (dual of [346, 336, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(717, 350, F7, 6) (dual of [350, 333, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(723, 356, F7, 8) (dual of [356, 333, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(727, 358, F7, 9) (dual of [358, 331, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(717, 351, F7, 6) (dual of [351, 334, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |