Information on Result #1202468
Digital (33, 47, 75932)-net over F81, using net defined by OOA based on linear OOA(8147, 75932, F81, 14, 14) (dual of [(75932, 14), 1063001, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(8147, 531524, F81, 14) (dual of [531524, 531477, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8147, 531526, F81, 14) (dual of [531526, 531479, 15]-code), using
- (u, u+v)-construction [i] based on
- linear OA(817, 82, F81, 7) (dual of [82, 75, 8]-code or 82-arc in PG(6,81)), using
- extended Reed–Solomon code RSe(75,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(8140, 531444, F81, 14) (dual of [531444, 531404, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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(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(13) ⊂ Ce(12) [i] based on
- linear OA(817, 82, F81, 7) (dual of [82, 75, 8]-code or 82-arc in PG(6,81)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(8147, 531526, F81, 14) (dual of [531526, 531479, 15]-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.