Information on Result #1193932
Digital (67, 83, 7389)-net over F9, using net defined by OOA based on linear OOA(983, 7389, F9, 18, 16) (dual of [(7389, 18), 132919, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(983, 29557, F9, 2, 16) (dual of [(29557, 2), 59031, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(912, 30, F9, 2, 8) (dual of [(30, 2), 48, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,51P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OOA(971, 29527, F9, 2, 16) (dual of [(29527, 2), 58983, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(971, 59054, F9, 16) (dual of [59054, 58983, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 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(971, 59054, F9, 16) (dual of [59054, 58983, 17]-code), using
- linear OOA(912, 30, F9, 2, 8) (dual of [(30, 2), 48, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
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.