Information on Result #1201604
Digital (48, 66, 29175)-net over F64, using net defined by OOA based on linear OOA(6466, 29175, F64, 21, 18) (dual of [(29175, 21), 612609, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6466, 87526, F64, 3, 18) (dual of [(87526, 3), 262512, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6466, 87527, F64, 3, 18) (dual of [(87527, 3), 262515, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6414, 145, F64, 3, 9) (dual of [(145, 3), 421, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(644, 65, F64, 3, 4) (dual of [(65, 3), 191, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;191,64) [i]
- linear OOA(6410, 80, F64, 3, 9) (dual of [(80, 3), 230, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,230P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(644, 65, F64, 3, 4) (dual of [(65, 3), 191, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6452, 87382, F64, 3, 18) (dual of [(87382, 3), 262094, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6452, 262146, F64, 18) (dual of [262146, 262094, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6452, 262147, F64, 18) (dual of [262147, 262095, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(6452, 262147, F64, 18) (dual of [262147, 262095, 19]-code), using
- OOA 3-folding [i] based on linear OA(6452, 262146, F64, 18) (dual of [262146, 262094, 19]-code), using
- linear OOA(6414, 145, F64, 3, 9) (dual of [(145, 3), 421, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6466, 87527, F64, 3, 18) (dual of [(87527, 3), 262515, 19]-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.