Information on Result #856649
Linear OOA(1697, 4194301, F16, 2, 18) (dual of [(4194301, 2), 8388505, 19]-NRT-code), using OOA 2-folding based on linear OA(1697, 8388602, F16, 18) (dual of [8388602, 8388505, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1697, large, F16, 18) (dual of [large, large−97, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(1699, 4194302, F16, 2, 18) (dual of [(4194302, 2), 8388505, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(16101, 4194303, F16, 2, 18) (dual of [(4194303, 2), 8388505, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(16103, 4194304, F16, 2, 18) (dual of [(4194304, 2), 8388505, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(1698, 4194301, F16, 2, 18) (dual of [(4194301, 2), 8388504, 19]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4194, 8388602, F4, 2, 18) (dual of [(8388602, 2), 16777010, 19]-NRT-code) | [i] | Trace Code for OOAs | |