Information on Result #681949
Linear OA(459, 63, F4, 46) (dual of [63, 4, 47]-code), using contraction based on linear OA(4185, 189, F4, 140) (dual of [189, 4, 141]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,140], and designed minimum distance d ≥ |I|+1 = 141 [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
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Truncation [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2244, 126, F2, 2, 140) (dual of [(126, 2), 8, 141]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 2 | Linear OOA(2242, 124, F2, 2, 140) (dual of [(124, 2), 6, 141]-NRT-code) | [i] | ||
| 3 | Linear OA(462, 69, F4, 46) (dual of [69, 7, 47]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(464, 72, F4, 46) (dual of [72, 8, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(465, 73, F4, 47) (dual of [73, 8, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(463, 70, F4, 47) (dual of [70, 7, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(489, 96, F4, 62) (dual of [96, 7, 63]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 8 | Linear OA(461, 69, F4, 44) (dual of [69, 8, 45]-code) | [i] | ✔ | |
| 9 | Linear OOA(459, 31, F4, 2, 46) (dual of [(31, 2), 3, 47]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(459, 21, F4, 3, 46) (dual of [(21, 3), 4, 47]-NRT-code) | [i] | ||