Information on Result #894058
Linear OOA(16122, 8388602, F16, 2, 21) (dual of [(8388602, 2), 16777082, 22]-NRT-code), using trace code based on linear OOA(25661, 4194301, F256, 2, 21) (dual of [(4194301, 2), 8388541, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25661, 8388602, F256, 21) (dual of [8388602, 8388541, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(25661, large, F256, 21) (dual of [large, large−61, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(25661, large, F256, 21) (dual of [large, large−61, 22]-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(16124, large, F16, 2, 21) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(16126, large, F16, 2, 21) | [i] | ||
| 3 | Linear OOA(16128, large, F16, 2, 21) | [i] | ||
| 4 | Linear OOA(16130, large, F16, 2, 21) | [i] | ||
| 5 | Linear OOA(16123, 8388602, F16, 2, 21) (dual of [(8388602, 2), 16777081, 22]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(16122, 1677720, F16, 22, 21) (dual of [(1677720, 22), 36909718, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |