Information on Result #1197754
Digital (58, 71, 1398122)-net over F27, using net defined by OOA based on linear OOA(2771, 1398122, F27, 14, 13) (dual of [(1398122, 14), 19573637, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2771, 4194367, F27, 2, 13) (dual of [(4194367, 2), 8388663, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2710, 66, F27, 2, 6) (dual of [(66, 2), 122, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;53,27) [i]
- linear OOA(277, 38, F27, 2, 6) (dual of [(38, 2), 69, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,69P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2761, 4194301, F27, 2, 13) (dual of [(4194301, 2), 8388541, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2761, 8388602, F27, 13) (dual of [8388602, 8388541, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2761, large, F27, 13) (dual of [large, large−61, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2761, large, F27, 13) (dual of [large, large−61, 14]-code), using
- OOA 2-folding [i] based on linear OA(2761, 8388602, F27, 13) (dual of [8388602, 8388541, 14]-code), using
- linear OOA(2710, 66, F27, 2, 6) (dual of [(66, 2), 122, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.