Information on Result #1201458
Digital (43, 59, 32804)-net over F64, using net defined by OOA based on linear OOA(6459, 32804, F64, 18, 16) (dual of [(32804, 18), 590413, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6459, 131217, F64, 2, 16) (dual of [(131217, 2), 262375, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6459, 131218, F64, 2, 16) (dual of [(131218, 2), 262377, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6413, 145, F64, 2, 8) (dual of [(145, 2), 277, 9]-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(649, 80, F64, 2, 8) (dual of [(80, 2), 151, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,151P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(644, 65, F64, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6446, 131073, F64, 2, 16) (dual of [(131073, 2), 262100, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6446, 262146, F64, 16) (dual of [262146, 262100, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(6446, 262147, F64, 16) (dual of [262147, 262101, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(6443, 262144, F64, 15) (dual of [262144, 262101, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(15) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(6446, 262147, F64, 16) (dual of [262147, 262101, 17]-code), using
- OOA 2-folding [i] based on linear OA(6446, 262146, F64, 16) (dual of [262146, 262100, 17]-code), using
- linear OOA(6413, 145, F64, 2, 8) (dual of [(145, 2), 277, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6459, 131218, F64, 2, 16) (dual of [(131218, 2), 262377, 17]-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.