Information on Result #614349
Linear OA(745, 2401, F7, 13) (dual of [2401, 2356, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, 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 OOA(745, 1958, F7, 2, 13) (dual of [(1958, 2), 3871, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(745, 1958, F7, 3, 13) (dual of [(1958, 3), 5829, 14]-NRT-code) | [i] | ||
| 3 | Digital (32, 45, 1958)-net over F7 | [i] | ||
| 4 | Linear OA(750, 2406, F7, 15) (dual of [2406, 2356, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(745, 2405, F7, 13) (dual of [2405, 2360, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(755, 2409, F7, 16) (dual of [2409, 2354, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(756, 2412, F7, 16) (dual of [2412, 2356, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(746, 2410, F7, 13) (dual of [2410, 2364, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(761, 2417, F7, 17) (dual of [2417, 2356, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(748, 2416, F7, 13) (dual of [2416, 2368, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(767, 2423, F7, 18) (dual of [2423, 2356, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(749, 2421, F7, 13) (dual of [2421, 2372, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(772, 2428, F7, 19) (dual of [2428, 2356, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(777, 2430, F7, 20) (dual of [2430, 2353, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(773, 2430, F7, 19) (dual of [2430, 2357, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(766, 2419, F7, 18) (dual of [2419, 2353, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(762, 2419, F7, 17) (dual of [2419, 2357, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(747, 2412, F7, 13) (dual of [2412, 2365, 14]-code) | [i] | ✔ | |
| 19 | Linear OOA(745, 400, F7, 13, 13) (dual of [(400, 13), 5155, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |