Information on Result #1194488
Digital (100, 124, 4929)-net over F9, using net defined by OOA based on linear OOA(9124, 4929, F9, 27, 24) (dual of [(4929, 27), 132959, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9124, 19717, F9, 3, 24) (dual of [(19717, 3), 59027, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9124, 19718, F9, 3, 24) (dual of [(19718, 3), 59030, 25]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(918, 34, F9, 3, 12) (dual of [(34, 3), 84, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,89P) [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
- linear OOA(9106, 19684, F9, 3, 24) (dual of [(19684, 3), 58946, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9106, 59052, F9, 24) (dual of [59052, 58946, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(9106, 59054, F9, 24) (dual of [59054, 58948, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(9101, 59049, F9, 23) (dual of [59049, 58948, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(23) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(9106, 59054, F9, 24) (dual of [59054, 58948, 25]-code), using
- OOA 3-folding [i] based on linear OA(9106, 59052, F9, 24) (dual of [59052, 58946, 25]-code), using
- linear OOA(918, 34, F9, 3, 12) (dual of [(34, 3), 84, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(9124, 19718, F9, 3, 24) (dual of [(19718, 3), 59030, 25]-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.