Information on Result #1019271
Linear OOA(12856, 2796351, F128, 3, 13) (dual of [(2796351, 3), 8388997, 14]-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(12849, 2796201, F128, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-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(12857, 2796351, F128, 3, 13) (dual of [(2796351, 3), 8388996, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12877, 5592552, F128, 3, 13) (dual of [(5592552, 3), 16777579, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(12856, 1398175, F128, 15, 13) (dual of [(1398175, 15), 20972569, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |