Information on Result #3263298
Digital (124, 149, 88574)-net over F9, using 92 times duplication based on digital (122, 147, 88574)-net over F9, using
- net defined by OOA [i] based on linear OOA(9147, 88574, F9, 25, 25) (dual of [(88574, 25), 2214203, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(9147, 1062889, F9, 25) (dual of [1062889, 1062742, 26]-code), using
- 1 times code embedding in larger space [i] based on linear OA(9146, 1062888, F9, 25) (dual of [1062888, 1062742, 26]-code), using
- trace code [i] based on linear OA(8173, 531444, F81, 25) (dual of [531444, 531371, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(8173, 531441, F81, 25) (dual of [531441, 531368, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8170, 531441, F81, 24) (dual of [531441, 531371, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(24) ⊂ Ce(23) [i] based on
- trace code [i] based on linear OA(8173, 531444, F81, 25) (dual of [531444, 531371, 26]-code), using
- 1 times code embedding in larger space [i] based on linear OA(9146, 1062888, F9, 25) (dual of [1062888, 1062742, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(9147, 1062889, F9, 25) (dual of [1062889, 1062742, 26]-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.