Information on Result #1203634
Digital (24, 40, 2122)-net over F128, using net defined by OOA based on linear OOA(12840, 2122, F128, 20, 16) (dual of [(2122, 20), 42400, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12840, 4245, F128, 4, 16) (dual of [(4245, 4), 16940, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12840, 4246, F128, 4, 16) (dual of [(4246, 4), 16944, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1289, 150, F128, 4, 8) (dual of [(150, 4), 591, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,591P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12831, 4096, F128, 4, 16) (dual of [(4096, 4), 16353, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 4-folding [i] based on linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using
- linear OOA(1289, 150, F128, 4, 8) (dual of [(150, 4), 591, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12840, 4246, F128, 4, 16) (dual of [(4246, 4), 16944, 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.