Information on Result #614333
Linear OA(731, 343, F7, 12) (dual of [343, 312, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(737, 351, F7, 12) (dual of [351, 314, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(734, 346, F7, 13) (dual of [346, 312, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(731, 346, F7, 12) (dual of [346, 315, 13]-code) | [i] | ✔ | |
| 4 | Linear OA(739, 351, F7, 15) (dual of [351, 312, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(732, 350, F7, 12) (dual of [350, 318, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(744, 356, F7, 16) (dual of [356, 312, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(734, 355, F7, 12) (dual of [355, 321, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(749, 361, F7, 17) (dual of [361, 312, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(735, 359, F7, 12) (dual of [359, 324, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(753, 365, F7, 18) (dual of [365, 312, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(760, 372, F7, 19) (dual of [372, 312, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(764, 376, F7, 20) (dual of [376, 312, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(759, 371, F7, 19) (dual of [371, 312, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(758, 369, F7, 19) (dual of [369, 311, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(757, 367, F7, 19) (dual of [367, 310, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(756, 371, F7, 18) (dual of [371, 315, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(755, 369, F7, 18) (dual of [369, 314, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(754, 367, F7, 18) (dual of [367, 313, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(748, 358, F7, 17) (dual of [358, 310, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(745, 358, F7, 16) (dual of [358, 313, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(733, 352, F7, 12) (dual of [352, 319, 13]-code) | [i] | ✔ | |
| 22 | Linear OA(737, 362, F7, 12) (dual of [362, 325, 13]-code) | [i] | ✔ | |