Information on Result #893898
Linear OOA(4218, 8388602, F4, 2, 20) (dual of [(8388602, 2), 16776986, 21]-NRT-code), using trace code based on linear OOA(16109, 4194301, F16, 2, 20) (dual of [(4194301, 2), 8388493, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16109, 8388602, F16, 20) (dual of [8388602, 8388493, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(16109, large, F16, 20) (dual of [large, large−109, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(16109, large, F16, 20) (dual of [large, large−109, 21]-code), using
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(4220, large, F4, 2, 20) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4222, large, F4, 2, 20) | [i] | ||
| 3 | Linear OOA(4224, large, F4, 2, 20) | [i] | ||
| 4 | Linear OOA(4226, large, F4, 2, 20) | [i] | ||
| 5 | Linear OOA(4228, large, F4, 2, 20) | [i] | ||
| 6 | Linear OOA(4230, large, F4, 2, 20) | [i] | ||
| 7 | Linear OOA(4232, large, F4, 2, 20) | [i] | ||
| 8 | Linear OOA(4234, large, F4, 2, 20) | [i] | ||
| 9 | Linear OOA(4236, large, F4, 2, 20) | [i] | ||
| 10 | Linear OOA(4238, large, F4, 2, 20) | [i] | ||
| 11 | Linear OOA(4240, large, F4, 2, 20) | [i] | ||
| 12 | Linear OOA(4242, large, F4, 2, 20) | [i] | ||
| 13 | Linear OOA(4244, large, F4, 2, 20) | [i] | ||
| 14 | Linear OOA(4246, large, F4, 2, 20) | [i] | ||
| 15 | Linear OOA(4248, large, F4, 2, 20) | [i] | ||
| 16 | Linear OOA(4250, large, F4, 2, 20) | [i] | ||
| 17 | Linear OOA(4252, large, F4, 2, 20) | [i] | ||
| 18 | Linear OOA(4254, large, F4, 2, 20) | [i] | ||
| 19 | Linear OOA(4256, large, F4, 2, 20) | [i] | ||
| 20 | Linear OOA(4258, large, F4, 2, 20) | [i] | ||
| 21 | Linear OOA(4260, large, F4, 2, 20) | [i] | ||
| 22 | Linear OOA(4219, 8388602, F4, 2, 20) (dual of [(8388602, 2), 16776985, 21]-NRT-code) | [i] | OOA Duplication | |
| 23 | Linear OOA(4218, 4194301, F4, 3, 20) (dual of [(4194301, 3), 12582685, 21]-NRT-code) | [i] | OOA Folding | |
| 24 | Linear OOA(4218, 1677720, F4, 22, 20) (dual of [(1677720, 22), 36909622, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |