Information on Result #1195298
Digital (57, 73, 16393)-net over F16, using net defined by OOA based on linear OOA(1673, 16393, F16, 18, 16) (dual of [(16393, 18), 295001, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1673, 65573, F16, 2, 16) (dual of [(65573, 2), 131073, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1673, 65576, F16, 2, 16) (dual of [(65576, 2), 131079, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1611, 38, F16, 2, 8) (dual of [(38, 2), 65, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,67P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OOA(1662, 65538, F16, 2, 16) (dual of [(65538, 2), 131014, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1662, 131076, F16, 16) (dual of [131076, 131014, 17]-code), using
- trace code [i] based on linear OA(25631, 65538, F256, 16) (dual of [65538, 65507, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- 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(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(15) ⊂ Ce(14) [i] based on
- trace code [i] based on linear OA(25631, 65538, F256, 16) (dual of [65538, 65507, 17]-code), using
- OOA 2-folding [i] based on linear OA(1662, 131076, F16, 16) (dual of [131076, 131014, 17]-code), using
- linear OOA(1611, 38, F16, 2, 8) (dual of [(38, 2), 65, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(1673, 65576, F16, 2, 16) (dual of [(65576, 2), 131079, 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.