Information on Result #1194320
Digital (84, 105, 5911)-net over F9, using net defined by OOA based on linear OOA(9105, 5911, F9, 22, 21) (dual of [(5911, 22), 129937, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(9105, 29556, F9, 2, 21) (dual of [(29556, 2), 59007, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9105, 29557, F9, 2, 21) (dual of [(29557, 2), 59009, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(914, 30, F9, 2, 10) (dual of [(30, 2), 46, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,49P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OOA(991, 29527, F9, 2, 21) (dual of [(29527, 2), 58963, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(991, 59054, F9, 21) (dual of [59054, 58963, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(991, 59049, F9, 21) (dual of [59049, 58958, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(991, 59054, F9, 21) (dual of [59054, 58963, 22]-code), using
- linear OOA(914, 30, F9, 2, 10) (dual of [(30, 2), 46, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(9105, 29557, F9, 2, 21) (dual of [(29557, 2), 59009, 22]-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.