Information on Result #899733
Linear OOA(2593, 4194367, F25, 2, 17) (dual of [(4194367, 2), 8388641, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2512, 66, F25, 2, 8) (dual of [(66, 2), 120, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,123P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2581, 4194301, F25, 2, 17) (dual of [(4194301, 2), 8388521, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2581, 8388602, F25, 17) (dual of [8388602, 8388521, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2581, large, F25, 17) (dual of [large, large−81, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2581, large, F25, 17) (dual of [large, large−81, 18]-code), using
- OOA 2-folding [i] based on linear OA(2581, 8388602, F25, 17) (dual of [8388602, 8388521, 18]-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(2594, 4194367, F25, 2, 17) (dual of [(4194367, 2), 8388640, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2593, 1048591, F25, 18, 17) (dual of [(1048591, 18), 18874545, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |