Information on Result #1202698
Digital (44, 62, 59082)-net over F81, using net defined by OOA based on linear OOA(8162, 59082, F81, 21, 18) (dual of [(59082, 21), 1240660, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8162, 177247, F81, 3, 18) (dual of [(177247, 3), 531679, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8162, 177248, F81, 3, 18) (dual of [(177248, 3), 531682, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8110, 100, F81, 3, 9) (dual of [(100, 3), 290, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,290P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8152, 177148, F81, 3, 18) (dual of [(177148, 3), 531392, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8152, 531444, F81, 18) (dual of [531444, 531392, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(8149, 531441, F81, 17) (dual of [531441, 531392, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(8152, 531444, F81, 18) (dual of [531444, 531392, 19]-code), using
- linear OOA(8110, 100, F81, 3, 9) (dual of [(100, 3), 290, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8162, 177248, F81, 3, 18) (dual of [(177248, 3), 531682, 19]-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.