Information on Result #678613
Linear OA(4209, 65536, F4, 35) (dual of [65536, 65327, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4218, 65545, F4, 37) (dual of [65545, 65327, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4209, 65544, F4, 35) (dual of [65544, 65335, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(4228, 65555, F4, 38) (dual of [65555, 65327, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(4238, 65565, F4, 39) (dual of [65565, 65327, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(4214, 65565, F4, 35) (dual of [65565, 65351, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(4216, 65575, F4, 35) (dual of [65575, 65359, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(4219, 65586, F4, 35) (dual of [65586, 65367, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(4230, 65613, F4, 35) (dual of [65613, 65383, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(4228, 65605, F4, 35) (dual of [65605, 65377, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(4229, 65609, F4, 35) (dual of [65609, 65380, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(4218, 65585, F4, 35) (dual of [65585, 65367, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(4228, 65611, F4, 35) (dual of [65611, 65383, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(4249, 65570, F4, 41) (dual of [65570, 65321, 42]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(4248, 65568, F4, 41) (dual of [65568, 65320, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(4237, 65558, F4, 39) (dual of [65558, 65321, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(4236, 65556, F4, 39) (dual of [65556, 65320, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(4239, 65567, F4, 39) (dual of [65567, 65328, 40]-code) | [i] | ✔ | |
| 18 | Linear OA(4227, 65547, F4, 38) (dual of [65547, 65320, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(4229, 65557, F4, 38) (dual of [65557, 65328, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(4219, 65547, F4, 37) (dual of [65547, 65328, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(4213, 65558, F4, 35) (dual of [65558, 65345, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(4215, 65567, F4, 35) (dual of [65567, 65352, 36]-code) | [i] | ✔ | |
| 23 | Linear OOA(4209, 3855, F4, 35, 35) (dual of [(3855, 35), 134716, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |