Information on Result #678608
Linear OA(4241, 65536, F4, 41) (dual of [65536, 65295, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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(4249, 65544, F4, 42) (dual of [65544, 65295, 43]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4242, 65545, F4, 41) (dual of [65545, 65303, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(4242, 65553, F4, 40) (dual of [65553, 65311, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(4244, 65555, F4, 41) (dual of [65555, 65311, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(4246, 65565, F4, 41) (dual of [65565, 65319, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(4244, 65557, F4, 40) (dual of [65557, 65313, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(4254, 65589, F4, 41) (dual of [65589, 65335, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(4251, 65586, F4, 40) (dual of [65586, 65335, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(4260, 65605, F4, 40) (dual of [65605, 65345, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(4253, 65582, F4, 41) (dual of [65582, 65329, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(4250, 65585, F4, 40) (dual of [65585, 65335, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(4260, 65611, F4, 40) (dual of [65611, 65351, 41]-code) | [i] | ✔ | |
| 13 | Linear OA(4251, 65547, F4, 42) (dual of [65547, 65296, 43]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(4243, 65547, F4, 41) (dual of [65547, 65304, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(4245, 65557, F4, 41) (dual of [65557, 65312, 42]-code) | [i] | ✔ | |
| 16 | Linear OA(4243, 65555, F4, 40) (dual of [65555, 65312, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(4249, 65570, F4, 41) (dual of [65570, 65321, 42]-code) | [i] | ✔ | |
| 18 | Linear OA(4248, 65568, F4, 41) (dual of [65568, 65320, 42]-code) | [i] | ✔ | |
| 19 | Linear OOA(4241, 32768, F4, 2, 41) (dual of [(32768, 2), 65295, 42]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(4241, 21845, F4, 3, 41) (dual of [(21845, 3), 65294, 42]-NRT-code) | [i] | ||
| 21 | Linear OOA(4241, 3276, F4, 41, 41) (dual of [(3276, 41), 134075, 42]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |