Information on Result #614404
Linear OA(740, 343, F7, 16) (dual of [343, 303, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(748, 352, F7, 16) (dual of [352, 304, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(749, 354, F7, 16) (dual of [354, 305, 17]-code) | [i] | ||
| 3 | Linear OA(743, 346, F7, 17) (dual of [346, 303, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(740, 346, F7, 16) (dual of [346, 306, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(747, 350, F7, 18) (dual of [350, 303, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(742, 351, F7, 16) (dual of [351, 309, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(752, 355, F7, 19) (dual of [355, 303, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(744, 356, F7, 16) (dual of [356, 312, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(756, 359, F7, 20) (dual of [359, 303, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(746, 361, F7, 16) (dual of [361, 315, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(762, 365, F7, 22) (dual of [365, 303, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(747, 365, F7, 16) (dual of [365, 318, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(769, 372, F7, 23) (dual of [372, 303, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(773, 376, F7, 24) (dual of [376, 303, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(777, 380, F7, 25) (dual of [380, 303, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(781, 384, F7, 26) (dual of [384, 303, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(768, 371, F7, 23) (dual of [371, 303, 24]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(767, 369, F7, 23) (dual of [369, 302, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(766, 367, F7, 23) (dual of [367, 301, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(765, 371, F7, 22) (dual of [371, 306, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(764, 369, F7, 22) (dual of [369, 305, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(763, 367, F7, 22) (dual of [367, 304, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(757, 361, F7, 20) (dual of [361, 304, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(748, 352, F7, 18) (dual of [352, 304, 19]-code) | [i] | ✔ | |
| 25 | Linear OA(745, 358, F7, 16) (dual of [358, 313, 17]-code) | [i] | ✔ | |
| 26 | Linear OA(749, 369, F7, 16) (dual of [369, 320, 17]-code) | [i] | ✔ | |
| 27 | Linear OA(748, 367, F7, 16) (dual of [367, 319, 17]-code) | [i] | ✔ | |