Information on Result #614478
Linear OA(773, 2402, F7, 21) (dual of [2402, 2329, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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 OOA(773, 2095, F7, 2, 21) (dual of [(2095, 2), 4117, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(773, 2095, F7, 3, 21) (dual of [(2095, 3), 6212, 22]-NRT-code) | [i] | ||
| 3 | Digital (52, 73, 2095)-net over F7 | [i] | ||
| 4 | Linear OA(783, 2413, F7, 21) (dual of [2413, 2330, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(782, 2411, F7, 23) (dual of [2411, 2329, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(774, 2411, F7, 21) (dual of [2411, 2337, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(793, 2422, F7, 25) (dual of [2422, 2329, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(777, 2422, F7, 21) (dual of [2422, 2345, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(7109, 2438, F7, 29) (dual of [2438, 2329, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(7104, 2433, F7, 27) (dual of [2433, 2329, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(780, 2433, F7, 21) (dual of [2433, 2353, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(7108, 2432, F7, 29) (dual of [2432, 2324, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 13 | Linear OA(7107, 2430, F7, 29) (dual of [2430, 2323, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(7106, 2428, F7, 29) (dual of [2428, 2322, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(7103, 2425, F7, 27) (dual of [2425, 2322, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(792, 2414, F7, 25) (dual of [2414, 2322, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(795, 2425, F7, 25) (dual of [2425, 2330, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(784, 2414, F7, 23) (dual of [2414, 2330, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(776, 2414, F7, 21) (dual of [2414, 2338, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(779, 2425, F7, 21) (dual of [2425, 2346, 22]-code) | [i] | ✔ | |
| 21 | Linear OOA(773, 240, F7, 21, 21) (dual of [(240, 21), 4967, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |