Information on Result #681905
Linear OA(460, 63, F4, 47) (dual of [63, 3, 48]-code), using contraction based on linear OA(4186, 189, F4, 143) (dual of [189, 3, 144]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,140], and minimum distance d ≥ |{−7,−2,3,…,−53}|+1 = 144 (BCH-bound) [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2246, 126, F2, 2, 143) (dual of [(126, 2), 6, 144]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OA(463, 69, F4, 47) (dual of [69, 6, 48]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(461, 68, F4, 44) (dual of [68, 7, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(465, 72, F4, 47) (dual of [72, 7, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(466, 74, F4, 47) (dual of [74, 8, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(465, 73, F4, 47) (dual of [73, 8, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(463, 70, F4, 47) (dual of [70, 7, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(462, 69, F4, 45) (dual of [69, 7, 46]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 9 | Linear OOA(460, 21, F4, 3, 47) (dual of [(21, 3), 3, 48]-NRT-code) | [i] | OOA Folding | |