Information on Result #1202382
Digital (33, 46, 88655)-net over F81, using net defined by OOA based on linear OOA(8146, 88655, F81, 15, 13) (dual of [(88655, 15), 1329779, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8146, 177311, F81, 3, 13) (dual of [(177311, 3), 531887, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8146, 177312, F81, 3, 13) (dual of [(177312, 3), 531890, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(819, 164, F81, 3, 6) (dual of [(164, 3), 483, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(813, 82, F81, 3, 3) (dual of [(82, 3), 243, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;243,81) [i]
- linear OOA(816, 82, F81, 3, 6) (dual of [(82, 3), 240, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;240,81) [i]
- linear OOA(813, 82, F81, 3, 3) (dual of [(82, 3), 243, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8137, 177148, F81, 3, 13) (dual of [(177148, 3), 531407, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8137, 531444, F81, 13) (dual of [531444, 531407, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
- OOA 3-folding [i] based on linear OA(8137, 531444, F81, 13) (dual of [531444, 531407, 14]-code), using
- linear OOA(819, 164, F81, 3, 6) (dual of [(164, 3), 483, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8146, 177312, F81, 3, 13) (dual of [(177312, 3), 531890, 14]-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.