Information on Result #1202754
Digital (45, 64, 59076)-net over F81, using net defined by OOA based on linear OOA(8164, 59076, F81, 21, 19) (dual of [(59076, 21), 1240532, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8164, 177229, F81, 3, 19) (dual of [(177229, 3), 531623, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8164, 177230, F81, 3, 19) (dual of [(177230, 3), 531626, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(819, 82, F81, 3, 9) (dual of [(82, 3), 237, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;237,81) [i]
- linear OOA(8155, 177148, F81, 3, 19) (dual of [(177148, 3), 531389, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8155, 531444, F81, 19) (dual of [531444, 531389, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(8155, 531441, F81, 19) (dual of [531441, 531386, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(8155, 531444, F81, 19) (dual of [531444, 531389, 20]-code), using
- linear OOA(819, 82, F81, 3, 9) (dual of [(82, 3), 237, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8164, 177230, F81, 3, 19) (dual of [(177230, 3), 531626, 20]-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.