Information on Result #1217518
Digital (133, 147, 2751047)-net over F9, using (u, u+v)-construction based on
- digital (34, 41, 354305)-net over F9, using
- net defined by OOA [i] based on linear OOA(941, 354305, F9, 9, 7) (dual of [(354305, 9), 3188704, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(941, 354306, F9, 3, 7) (dual of [(354306, 3), 1062877, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(93, 10, F9, 3, 3) (dual of [(10, 3), 27, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;27,9) [i]
- linear OOA(938, 354296, F9, 3, 7) (dual of [(354296, 3), 1062850, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(938, 1062888, F9, 7) (dual of [1062888, 1062850, 8]-code), using
- trace code [i] based on linear OA(8119, 531444, F81, 7) (dual of [531444, 531425, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- 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(8116, 531441, F81, 6) (dual of [531441, 531425, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- trace code [i] based on linear OA(8119, 531444, F81, 7) (dual of [531444, 531425, 8]-code), using
- OOA 3-folding [i] based on linear OA(938, 1062888, F9, 7) (dual of [1062888, 1062850, 8]-code), using
- linear OOA(93, 10, F9, 3, 3) (dual of [(10, 3), 27, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(941, 354306, F9, 3, 7) (dual of [(354306, 3), 1062877, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(941, 354305, F9, 9, 7) (dual of [(354305, 9), 3188704, 8]-NRT-code), using
- digital (92, 106, 2396742)-net over F9, using
- trace code for nets [i] based on digital (39, 53, 1198371)-net over F81, using
- net defined by OOA [i] based on linear OOA(8153, 1198371, F81, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(8153, 8388597, F81, 14) (dual of [8388597, 8388544, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(8153, 8388597, F81, 14) (dual of [8388597, 8388544, 15]-code), using
- net defined by OOA [i] based on linear OOA(8153, 1198371, F81, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
- trace code for nets [i] based on digital (39, 53, 1198371)-net over F81, 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.