Information on Result #614381
Linear OA(749, 2402, F7, 15) (dual of [2402, 2353, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound)
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, 2401, F7, 14) (dual of [2401, 2353, 15]-code) | [i] | Truncation | |
| 2 | Linear OA(757, 2413, F7, 15) (dual of [2413, 2356, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(754, 2440, F7, 15) (dual of [2440, 2386, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(755, 2497, F7, 15) (dual of [2497, 2442, 16]-code) | [i] | ||
| 5 | Linear OA(756, 2624, F7, 15) (dual of [2624, 2568, 16]-code) | [i] | ||
| 6 | Linear OA(757, 2863, F7, 15) (dual of [2863, 2806, 16]-code) | [i] | ||
| 7 | Linear OA(756, 2410, F7, 15) (dual of [2410, 2354, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(758, 2411, F7, 17) (dual of [2411, 2353, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(752, 2410, F7, 15) (dual of [2410, 2358, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(753, 2414, F7, 15) (dual of [2414, 2361, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(751, 2410, F7, 14) (dual of [2410, 2359, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(769, 2422, F7, 19) (dual of [2422, 2353, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(756, 2425, F7, 15) (dual of [2425, 2369, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(780, 2433, F7, 21) (dual of [2433, 2353, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(779, 2425, F7, 21) (dual of [2425, 2346, 22]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 16 | Linear OA(768, 2414, F7, 19) (dual of [2414, 2346, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(773, 2427, F7, 19) (dual of [2427, 2354, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(763, 2418, F7, 17) (dual of [2418, 2355, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(762, 2416, F7, 17) (dual of [2416, 2354, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(755, 2417, F7, 15) (dual of [2417, 2362, 16]-code) | [i] | ✔ | |
| 21 | Linear OOA(749, 1201, F7, 2, 15) (dual of [(1201, 2), 2353, 16]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(749, 343, F7, 15, 15) (dual of [(343, 15), 5096, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |