Information on Result #904951
Linear OOA(12861, 4194451, F128, 2, 14) (dual of [(4194451, 2), 8388841, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1288, 150, F128, 2, 7) (dual of [(150, 2), 292, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,292P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12853, 4194301, F128, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12853, 8388602, F128, 14) (dual of [8388602, 8388549, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(12853, large, F128, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(12853, large, F128, 14) (dual of [large, large−53, 15]-code), using
- OOA 2-folding [i] based on linear OA(12853, 8388602, F128, 14) (dual of [8388602, 8388549, 15]-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(12862, 4194451, F128, 2, 14) (dual of [(4194451, 2), 8388840, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12861, 2097225, F128, 4, 14) (dual of [(2097225, 4), 8388839, 15]-NRT-code) | [i] | OOA Folding | |