Information on Result #1019343
Linear OOA(12865, 2796351, F128, 3, 15) (dual of [(2796351, 3), 8388988, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1288, 150, F128, 3, 7) (dual of [(150, 3), 442, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,442P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12857, 2796201, F128, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-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(12866, 2796351, F128, 3, 15) (dual of [(2796351, 3), 8388987, 16]-NRT-code) | [i] | OOA Duplication | |