Information on Result #1199472
Digital (58, 74, 131091)-net over F32, using net defined by OOA based on linear OOA(3274, 131091, F32, 18, 16) (dual of [(131091, 18), 2359564, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3274, 524365, F32, 2, 16) (dual of [(524365, 2), 1048656, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3274, 524367, F32, 2, 16) (dual of [(524367, 2), 1048660, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3213, 77, F32, 2, 8) (dual of [(77, 2), 141, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(324, 33, F32, 2, 4) (dual of [(33, 2), 62, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;62,32) [i]
- linear OOA(329, 44, F32, 2, 8) (dual of [(44, 2), 79, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,79P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(324, 33, F32, 2, 4) (dual of [(33, 2), 62, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3261, 524290, F32, 2, 16) (dual of [(524290, 2), 1048519, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3261, 1048580, F32, 16) (dual of [1048580, 1048519, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(3261, 1048576, F32, 16) (dual of [1048576, 1048515, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3257, 1048576, F32, 15) (dual of [1048576, 1048519, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(3261, 1048580, F32, 16) (dual of [1048580, 1048519, 17]-code), using
- linear OOA(3213, 77, F32, 2, 8) (dual of [(77, 2), 141, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3274, 524367, F32, 2, 16) (dual of [(524367, 2), 1048660, 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.