Information on Result #678621
Linear OA(4161, 65536, F4, 27) (dual of [65536, 65375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(4170, 65545, F4, 29) (dual of [65545, 65375, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4161, 65544, F4, 27) (dual of [65544, 65383, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(4180, 65555, F4, 30) (dual of [65555, 65375, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(4190, 65565, F4, 31) (dual of [65565, 65375, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(4166, 65565, F4, 27) (dual of [65565, 65399, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4168, 65575, F4, 27) (dual of [65575, 65407, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(4214, 65589, F4, 34) (dual of [65589, 65375, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(4171, 65586, F4, 27) (dual of [65586, 65415, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(4239, 65614, F4, 37) (dual of [65614, 65375, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(4251, 65621, F4, 38) (dual of [65621, 65370, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(4238, 65608, F4, 37) (dual of [65608, 65370, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(4236, 65605, F4, 36) (dual of [65605, 65369, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(4237, 65609, F4, 36) (dual of [65609, 65372, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(4180, 65605, F4, 27) (dual of [65605, 65425, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4251, 65625, F4, 38) (dual of [65625, 65374, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(4252, 65627, F4, 38) (dual of [65627, 65375, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(4170, 65585, F4, 27) (dual of [65585, 65415, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(4238, 65613, F4, 37) (dual of [65613, 65375, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(4236, 65611, F4, 36) (dual of [65611, 65375, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(4180, 65611, F4, 27) (dual of [65611, 65431, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(4248, 65621, F4, 38) (dual of [65621, 65373, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(4249, 65624, F4, 38) (dual of [65624, 65375, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(4201, 65570, F4, 33) (dual of [65570, 65369, 34]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(4200, 65568, F4, 33) (dual of [65568, 65368, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(4189, 65558, F4, 31) (dual of [65558, 65369, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(4188, 65556, F4, 31) (dual of [65556, 65368, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(4191, 65567, F4, 31) (dual of [65567, 65376, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(4179, 65547, F4, 30) (dual of [65547, 65368, 31]-code) | [i] | ✔ | |
| 29 | Linear OA(4181, 65557, F4, 30) (dual of [65557, 65376, 31]-code) | [i] | ✔ | |
| 30 | Linear OA(4171, 65547, F4, 29) (dual of [65547, 65376, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(4165, 65558, F4, 27) (dual of [65558, 65393, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(4167, 65567, F4, 27) (dual of [65567, 65400, 28]-code) | [i] | ✔ | |
| 33 | Linear OOA(4161, 5041, F4, 27, 27) (dual of [(5041, 27), 135946, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |