Information on Result #824077
Linear OOA(4216, 4194301, F4, 2, 24) (dual of [(4194301, 2), 8388386, 25]-NRT-code), using OOA 2-folding based on linear OA(4216, 8388602, F4, 24) (dual of [8388602, 8388386, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4216, large, F4, 24) (dual of [large, large−216, 25]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4218, 4194302, F4, 2, 24) (dual of [(4194302, 2), 8388386, 25]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4220, 4194303, F4, 2, 24) (dual of [(4194303, 2), 8388386, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(4222, 4194304, F4, 2, 24) (dual of [(4194304, 2), 8388386, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(4224, 4194305, F4, 2, 24) (dual of [(4194305, 2), 8388386, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(4226, 4194306, F4, 2, 24) (dual of [(4194306, 2), 8388386, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(4228, 4194307, F4, 2, 24) (dual of [(4194307, 2), 8388386, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(4229, 4194310, F4, 2, 24) (dual of [(4194310, 2), 8388391, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(4230, 4194311, F4, 2, 24) (dual of [(4194311, 2), 8388392, 25]-NRT-code) | [i] | ||
| 9 | Linear OOA(4231, 4194315, F4, 2, 24) (dual of [(4194315, 2), 8388399, 25]-NRT-code) | [i] | ||
| 10 | Linear OOA(4232, 4194316, F4, 2, 24) (dual of [(4194316, 2), 8388400, 25]-NRT-code) | [i] | ||
| 11 | Linear OOA(4233, 4194318, F4, 2, 24) (dual of [(4194318, 2), 8388403, 25]-NRT-code) | [i] | ||
| 12 | Linear OOA(4234, 4194319, F4, 2, 24) (dual of [(4194319, 2), 8388404, 25]-NRT-code) | [i] | ||
| 13 | Linear OOA(4235, 4194322, F4, 2, 24) (dual of [(4194322, 2), 8388409, 25]-NRT-code) | [i] | ||
| 14 | Linear OOA(4237, 4194324, F4, 2, 24) (dual of [(4194324, 2), 8388411, 25]-NRT-code) | [i] | ||
| 15 | Linear OOA(4238, 4194328, F4, 2, 24) (dual of [(4194328, 2), 8388418, 25]-NRT-code) | [i] | ||
| 16 | Linear OOA(4240, 4194335, F4, 2, 24) (dual of [(4194335, 2), 8388430, 25]-NRT-code) | [i] | ||
| 17 | Linear OOA(4242, 4194349, F4, 2, 24) (dual of [(4194349, 2), 8388456, 25]-NRT-code) | [i] | ||
| 18 | Linear OOA(4244, 4194367, F4, 2, 24) (dual of [(4194367, 2), 8388490, 25]-NRT-code) | [i] | ||
| 19 | Linear OOA(4246, 4194377, F4, 2, 24) (dual of [(4194377, 2), 8388508, 25]-NRT-code) | [i] | ||
| 20 | Linear OOA(4248, 4194391, F4, 2, 24) (dual of [(4194391, 2), 8388534, 25]-NRT-code) | [i] | ||
| 21 | Linear OOA(4250, 4194399, F4, 2, 24) (dual of [(4194399, 2), 8388548, 25]-NRT-code) | [i] | ||
| 22 | Linear OOA(4252, 4194496, F4, 2, 24) (dual of [(4194496, 2), 8388740, 25]-NRT-code) | [i] | ||
| 23 | Linear OOA(4255, 4194541, F4, 2, 24) (dual of [(4194541, 2), 8388827, 25]-NRT-code) | [i] | ||
| 24 | OOA(4258, 4194688, S4, 2, 24) | [i] | ||
| 25 | Linear OOA(4216, 3950459, F4, 3, 24) (dual of [(3950459, 3), 11851161, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 26 | Digital (192, 216, 3950459)-net over F4 | [i] | ||