Information on Result #681953
Linear OA(446, 63, F4, 26) (dual of [63, 17, 27]-code), using contraction based on linear OA(4172, 189, F4, 80) (dual of [189, 17, 81]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,80], and designed minimum distance d ≥ |I|+1 = 81 [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(451, 68, F4, 29) (dual of [68, 17, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(454, 81, F4, 26) (dual of [81, 27, 27]-code) | [i] | ✔ | |
| 3 | Linear OA(471, 88, F4, 39) (dual of [88, 17, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(464, 81, F4, 34) (dual of [81, 17, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(457, 74, F4, 31) (dual of [74, 17, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(452, 69, F4, 30) (dual of [69, 17, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(455, 82, F4, 27) (dual of [82, 27, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(453, 79, F4, 27) (dual of [79, 26, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(451, 74, F4, 27) (dual of [74, 23, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(447, 67, F4, 27) (dual of [67, 20, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(465, 82, F4, 35) (dual of [82, 17, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(453, 80, F4, 26) (dual of [80, 27, 27]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |