Information on Result #1194528
Digital (100, 125, 4925)-net over F9, using net defined by OOA based on linear OOA(9125, 4925, F9, 27, 25) (dual of [(4925, 27), 132850, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9125, 19701, F9, 3, 25) (dual of [(19701, 3), 58978, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9125, 19704, F9, 3, 25) (dual of [(19704, 3), 58987, 26]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(914, 20, F9, 3, 12) (dual of [(20, 3), 46, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,47P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- linear OOA(9111, 19684, F9, 3, 25) (dual of [(19684, 3), 58941, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9111, 59052, F9, 25) (dual of [59052, 58941, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(9111, 59054, F9, 25) (dual of [59054, 58943, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(9111, 59049, F9, 25) (dual of [59049, 58938, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(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(24) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(9111, 59054, F9, 25) (dual of [59054, 58943, 26]-code), using
- OOA 3-folding [i] based on linear OA(9111, 59052, F9, 25) (dual of [59052, 58941, 26]-code), using
- linear OOA(914, 20, F9, 3, 12) (dual of [(20, 3), 46, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(9125, 19704, F9, 3, 25) (dual of [(19704, 3), 58987, 26]-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.