Information on Result #1195350
Digital (58, 75, 16390)-net over F16, using net defined by OOA based on linear OOA(1675, 16390, F16, 18, 17) (dual of [(16390, 18), 294945, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1675, 65561, F16, 2, 17) (dual of [(65561, 2), 131047, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1675, 65562, F16, 2, 17) (dual of [(65562, 2), 131049, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(169, 24, F16, 2, 8) (dual of [(24, 2), 39, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,39P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OOA(1666, 65538, F16, 2, 17) (dual of [(65538, 2), 131010, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1666, 131076, F16, 17) (dual of [131076, 131010, 18]-code), using
- trace code [i] based on linear OA(25633, 65538, F256, 17) (dual of [65538, 65505, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- trace code [i] based on linear OA(25633, 65538, F256, 17) (dual of [65538, 65505, 18]-code), using
- OOA 2-folding [i] based on linear OA(1666, 131076, F16, 17) (dual of [131076, 131010, 18]-code), using
- linear OOA(169, 24, F16, 2, 8) (dual of [(24, 2), 39, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(1675, 65562, F16, 2, 17) (dual of [(65562, 2), 131049, 18]-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.