Information on Result #1193372
Digital (80, 90, 2799445)-net over F9, using net defined by OOA based on linear OOA(990, 2799445, F9, 15, 10) (dual of [(2799445, 15), 41991585, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(990, 5598891, F9, 3, 10) (dual of [(5598891, 3), 16796583, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(990, 5598892, F9, 3, 10) (dual of [(5598892, 3), 16796586, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(916, 6490, F9, 3, 5) (dual of [(6490, 3), 19454, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(916, 6491, F9, 2, 5) (dual of [(6491, 2), 12966, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(92, 10, F9, 2, 2) (dual of [(10, 2), 18, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;18,9) [i]
- linear OOA(914, 6481, F9, 2, 5) (dual of [(6481, 2), 12948, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- trace code [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- OOA 2-folding [i] based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- linear OOA(92, 10, F9, 2, 2) (dual of [(10, 2), 18, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(916, 6491, F9, 2, 5) (dual of [(6491, 2), 12966, 6]-NRT-code), using
- linear OOA(974, 5592402, F9, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- trace code [i] based on linear OOA(8137, 2796201, F81, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- trace code [i] based on linear OOA(8137, 2796201, F81, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- linear OOA(916, 6490, F9, 3, 5) (dual of [(6490, 3), 19454, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(990, 5598892, F9, 3, 10) (dual of [(5598892, 3), 16796586, 11]-NRT-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.