Information on Result #1203660
Digital (41, 57, 262239)-net over F128, using net defined by OOA based on linear OOA(12857, 262239, F128, 20, 16) (dual of [(262239, 20), 5244723, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12857, 524479, F128, 4, 16) (dual of [(524479, 4), 2097859, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12857, 524480, F128, 4, 16) (dual of [(524480, 4), 2097863, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12811, 192, F128, 4, 8) (dual of [(192, 4), 757, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,759P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(12846, 524288, F128, 4, 16) (dual of [(524288, 4), 2097106, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 4-folding [i] based on linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using
- linear OOA(12811, 192, F128, 4, 8) (dual of [(192, 4), 757, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12857, 524480, F128, 4, 16) (dual of [(524480, 4), 2097863, 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.