Information on Result #856586
Linear OOA(1691, 4194301, F16, 2, 17) (dual of [(4194301, 2), 8388511, 18]-NRT-code), using OOA 2-folding based on linear OA(1691, 8388602, F16, 17) (dual of [8388602, 8388511, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1691, large, F16, 17) (dual of [large, large−91, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(1691, 4194301, F16, 2, 16) (dual of [(4194301, 2), 8388511, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(1693, 4194302, F16, 2, 17) (dual of [(4194302, 2), 8388511, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(1695, 4194303, F16, 2, 17) (dual of [(4194303, 2), 8388511, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(1697, 4194304, F16, 2, 17) (dual of [(4194304, 2), 8388511, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(1692, 4194301, F16, 2, 17) (dual of [(4194301, 2), 8388510, 18]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(4182, 8388602, F4, 2, 17) (dual of [(8388602, 2), 16777022, 18]-NRT-code) | [i] | Trace Code for OOAs | |