Information on Result #1188852
Digital (133, 146, 2796203)-net over F5, using net defined by OOA based on linear OOA(5146, 2796203, F5, 15, 13) (dual of [(2796203, 15), 41942899, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(5146, 5592407, F5, 3, 13) (dual of [(5592407, 3), 16777075, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5146, 5592408, F5, 3, 13) (dual of [(5592408, 3), 16777078, 14]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(54, 6, F5, 3, 4) (dual of [(6, 3), 14, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;14,5) [i]
- linear OOA(541, 2796201, F5, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- linear OOA(5101, 2796201, F5, 3, 13) (dual of [(2796201, 3), 8388502, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, 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(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- linear OOA(54, 6, F5, 3, 4) (dual of [(6, 3), 14, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(5146, 5592408, F5, 3, 13) (dual of [(5592408, 3), 16777078, 14]-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.