Information on Result #856716
Linear OOA(16103, 4194301, F16, 2, 19) (dual of [(4194301, 2), 8388499, 20]-NRT-code), using OOA 2-folding based on linear OA(16103, 8388602, F16, 19) (dual of [8388602, 8388499, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(16103, large, F16, 19) (dual of [large, large−103, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(16105, 4194302, F16, 2, 19) (dual of [(4194302, 2), 8388499, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(16107, 4194303, F16, 2, 19) (dual of [(4194303, 2), 8388499, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(16109, 4194304, F16, 2, 19) (dual of [(4194304, 2), 8388499, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(16104, 4194301, F16, 2, 19) (dual of [(4194301, 2), 8388498, 20]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4206, 8388602, F4, 2, 19) (dual of [(8388602, 2), 16776998, 20]-NRT-code) | [i] | Trace Code for OOAs | |