Information on Result #681956
Linear OA(440, 63, F4, 22) (dual of [63, 23, 23]-code), using contraction based on linear OA(4166, 189, F4, 68) (dual of [189, 23, 69]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [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 OA(445, 68, F4, 25) (dual of [68, 23, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(457, 80, F4, 29) (dual of [80, 23, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(458, 81, F4, 30) (dual of [81, 23, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(451, 74, F4, 27) (dual of [74, 23, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(446, 69, F4, 26) (dual of [69, 23, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(442, 69, F4, 23) (dual of [69, 27, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(441, 67, F4, 23) (dual of [67, 26, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(456, 77, F4, 29) (dual of [77, 21, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |