Information on Result #903887
Linear OOA(6488, 4194381, F64, 2, 20) (dual of [(4194381, 2), 8388674, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6411, 80, F64, 2, 10) (dual of [(80, 2), 149, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,149P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6477, 4194301, F64, 2, 20) (dual of [(4194301, 2), 8388525, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6477, 8388602, F64, 20) (dual of [8388602, 8388525, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- OOA 2-folding [i] based on linear OA(6477, 8388602, F64, 20) (dual of [8388602, 8388525, 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(6489, 4194381, F64, 2, 20) (dual of [(4194381, 2), 8388673, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | OOA(32106, 4194381, S32, 2, 20) | [i] | Discarding Parts of the Base for OOAs | |
| 3 | Linear OOA(6488, 838876, F64, 22, 20) (dual of [(838876, 22), 18455184, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |