Information on Result #1019232
Linear OOA(12852, 2796351, F128, 3, 12) (dual of [(2796351, 3), 8389001, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1287, 150, F128, 3, 6) (dual of [(150, 3), 443, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,443P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12845, 2796201, F128, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-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(12853, 2796351, F128, 3, 12) (dual of [(2796351, 3), 8389000, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12873, 5592552, F128, 3, 12) (dual of [(5592552, 3), 16777583, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(12876, 5592681, F128, 3, 12) (dual of [(5592681, 3), 16777967, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(12877, 5592702, F128, 3, 12) (dual of [(5592702, 3), 16778029, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(12852, 1398175, F128, 15, 12) (dual of [(1398175, 15), 20972573, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |