Information on Result #614347
Linear OA(734, 343, F7, 13) (dual of [343, 309, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(740, 351, F7, 13) (dual of [351, 311, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(741, 353, F7, 13) (dual of [353, 312, 14]-code) | [i] | ||
| 3 | Linear OA(738, 347, F7, 15) (dual of [347, 309, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(734, 346, F7, 13) (dual of [346, 312, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(742, 351, F7, 16) (dual of [351, 309, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(735, 350, F7, 13) (dual of [350, 315, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(747, 356, F7, 17) (dual of [356, 309, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(737, 355, F7, 13) (dual of [355, 318, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(752, 361, F7, 18) (dual of [361, 309, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(738, 359, F7, 13) (dual of [359, 321, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(756, 365, F7, 19) (dual of [365, 309, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(740, 364, F7, 13) (dual of [364, 324, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(763, 372, F7, 20) (dual of [372, 309, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(768, 377, F7, 22) (dual of [377, 309, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(772, 381, F7, 23) (dual of [381, 309, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(766, 375, F7, 21) (dual of [375, 309, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(765, 373, F7, 21) (dual of [373, 308, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(762, 371, F7, 20) (dual of [371, 309, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(761, 369, F7, 20) (dual of [369, 308, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(760, 367, F7, 20) (dual of [367, 307, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(759, 371, F7, 19) (dual of [371, 312, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(758, 369, F7, 19) (dual of [369, 311, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(757, 367, F7, 19) (dual of [367, 310, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(751, 358, F7, 18) (dual of [358, 307, 19]-code) | [i] | ✔ | |
| 25 | Linear OA(748, 358, F7, 17) (dual of [358, 310, 18]-code) | [i] | ✔ | |
| 26 | Linear OA(736, 352, F7, 13) (dual of [352, 316, 14]-code) | [i] | ✔ | |
| 27 | Linear OA(739, 361, F7, 13) (dual of [361, 322, 14]-code) | [i] | ✔ | |