Information on Result #1201290
Digital (46, 59, 1398172)-net over F64, using net defined by OOA based on linear OOA(6459, 1398172, F64, 15, 13) (dual of [(1398172, 15), 20972521, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(6459, 2796345, F64, 3, 13) (dual of [(2796345, 3), 8388976, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6459, 2796346, F64, 3, 13) (dual of [(2796346, 3), 8388979, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6410, 145, F64, 3, 6) (dual of [(145, 3), 425, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;192,64) [i]
- linear OOA(647, 80, F64, 3, 6) (dual of [(80, 3), 233, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,233P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, 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(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- linear OOA(6410, 145, F64, 3, 6) (dual of [(145, 3), 425, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6459, 2796346, F64, 3, 13) (dual of [(2796346, 3), 8388979, 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.