Information on Result #612631
Linear OA(431, 1025, F4, 9) (dual of [1025, 994, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(430, 1024, F4, 8) (dual of [1024, 994, 9]-code) | [i] | Truncation | |
| 2 | Linear OA(436, 1036, F4, 9) (dual of [1036, 1000, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(436, 1055, F4, 9) (dual of [1055, 1019, 10]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(435, 1030, F4, 9) (dual of [1030, 995, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(442, 1036, F4, 11) (dual of [1036, 994, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(434, 1031, F4, 9) (dual of [1031, 997, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(435, 1039, F4, 9) (dual of [1039, 1004, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(435, 1040, F4, 8) (dual of [1040, 1005, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(448, 1045, F4, 11) (dual of [1045, 997, 12]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 10 | Linear OA(436, 1041, F4, 9) (dual of [1041, 1005, 10]-code) | [i] | ✔ | |
| 11 | Linear OA(442, 1037, F4, 11) (dual of [1037, 995, 12]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 12 | Linear OOA(431, 256, F4, 9, 9) (dual of [(256, 9), 2273, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |