Information on Result #614406
Linear OA(753, 2401, F7, 16) (dual of [2401, 2348, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, 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(761, 2410, F7, 16) (dual of [2410, 2349, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(753, 1379, F7, 2, 16) (dual of [(1379, 2), 2705, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(753, 1379, F7, 3, 16) (dual of [(1379, 3), 4084, 17]-NRT-code) | [i] | ||
| 4 | Digital (37, 53, 1379)-net over F7 | [i] | ||
| 5 | Linear OA(757, 2405, F7, 17) (dual of [2405, 2348, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(753, 2405, F7, 16) (dual of [2405, 2352, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(762, 2410, F7, 18) (dual of [2410, 2348, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(755, 2409, F7, 16) (dual of [2409, 2354, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(756, 2412, F7, 16) (dual of [2412, 2356, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(768, 2416, F7, 19) (dual of [2416, 2348, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(757, 2417, F7, 16) (dual of [2417, 2360, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(773, 2421, F7, 20) (dual of [2421, 2348, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(759, 2423, F7, 16) (dual of [2423, 2364, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(780, 2428, F7, 22) (dual of [2428, 2348, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(760, 2428, F7, 16) (dual of [2428, 2368, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(788, 2436, F7, 23) (dual of [2436, 2348, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(793, 2441, F7, 24) (dual of [2441, 2348, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(787, 2434, F7, 23) (dual of [2434, 2347, 24]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(786, 2432, F7, 23) (dual of [2432, 2346, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(785, 2430, F7, 23) (dual of [2430, 2345, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(783, 2434, F7, 22) (dual of [2434, 2351, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(782, 2432, F7, 22) (dual of [2432, 2350, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(781, 2430, F7, 22) (dual of [2430, 2349, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(774, 2423, F7, 20) (dual of [2423, 2349, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(763, 2412, F7, 18) (dual of [2412, 2349, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(758, 2419, F7, 16) (dual of [2419, 2361, 17]-code) | [i] | ✔ | |
| 27 | Linear OA(761, 2430, F7, 16) (dual of [2430, 2369, 17]-code) | [i] | ✔ | |
| 28 | Linear OOA(753, 300, F7, 16, 16) (dual of [(300, 16), 4747, 17]-NRT-code) | [i] | OA Folding and Stacking | |