Information on Result #1201034
Digital (20, 29, 65568)-net over F64, using net defined by OOA based on linear OOA(6429, 65568, F64, 10, 9) (dual of [(65568, 10), 655651, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(6429, 131137, F64, 2, 9) (dual of [(131137, 2), 262245, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6429, 131138, F64, 2, 9) (dual of [(131138, 2), 262247, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(644, 65, F64, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;126,64) [i]
- linear OOA(6425, 131073, F64, 2, 9) (dual of [(131073, 2), 262121, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6425, 262146, F64, 9) (dual of [262146, 262121, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(6425, 262147, F64, 9) (dual of [262147, 262122, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(6425, 262144, F64, 9) (dual of [262144, 262119, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(6425, 262147, F64, 9) (dual of [262147, 262122, 10]-code), using
- OOA 2-folding [i] based on linear OA(6425, 262146, F64, 9) (dual of [262146, 262121, 10]-code), using
- linear OOA(644, 65, F64, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6429, 131138, F64, 2, 9) (dual of [(131138, 2), 262247, 10]-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.