Information on Result #1195348
Digital (57, 74, 16388)-net over F16, using net defined by OOA based on linear OOA(1674, 16388, F16, 18, 17) (dual of [(16388, 18), 294910, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1674, 65553, F16, 2, 17) (dual of [(65553, 2), 131032, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1674, 65555, F16, 2, 17) (dual of [(65555, 2), 131036, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(168, 17, F16, 2, 8) (dual of [(17, 2), 26, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;26,16) [i]
- 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(168, 17, F16, 2, 8) (dual of [(17, 2), 26, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(1674, 65555, F16, 2, 17) (dual of [(65555, 2), 131036, 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.