Information on Result #1193208
Digital (41, 49, 265729)-net over F9, using net defined by OOA based on linear OOA(949, 265729, F9, 10, 8) (dual of [(265729, 10), 2657241, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(949, 531459, F9, 2, 8) (dual of [(531459, 2), 1062869, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(949, 531460, F9, 2, 8) (dual of [(531460, 2), 1062871, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(95, 16, F9, 2, 4) (dual of [(16, 2), 27, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OOA(944, 531444, F9, 2, 8) (dual of [(531444, 2), 1062844, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(944, 1062888, F9, 8) (dual of [1062888, 1062844, 9]-code), using
- trace code [i] based on linear OA(8122, 531444, F81, 8) (dual of [531444, 531422, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(8122, 531441, F81, 8) (dual of [531441, 531419, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(8119, 531441, F81, 7) (dual of [531441, 531422, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- trace code [i] based on linear OA(8122, 531444, F81, 8) (dual of [531444, 531422, 9]-code), using
- OOA 2-folding [i] based on linear OA(944, 1062888, F9, 8) (dual of [1062888, 1062844, 9]-code), using
- linear OOA(95, 16, F9, 2, 4) (dual of [(16, 2), 27, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(949, 531460, F9, 2, 8) (dual of [(531460, 2), 1062871, 9]-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.