Information on Result #1193678
Digital (60, 73, 88579)-net over F9, using net defined by OOA based on linear OOA(973, 88579, F9, 15, 13) (dual of [(88579, 15), 1328612, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(973, 177159, F9, 3, 13) (dual of [(177159, 3), 531404, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(96, 10, F9, 3, 6) (dual of [(10, 3), 24, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;24,9) [i]
- linear OOA(967, 177149, F9, 3, 13) (dual of [(177149, 3), 531380, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(967, 531447, F9, 13) (dual of [531447, 531380, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(967, 531441, F9, 13) (dual of [531441, 531374, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(961, 531441, F9, 12) (dual of [531441, 531380, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(90, 6, F9, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- OOA 3-folding [i] based on linear OA(967, 531447, F9, 13) (dual of [531447, 531380, 14]-code), using
- linear OOA(96, 10, F9, 3, 6) (dual of [(10, 3), 24, 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.