Information on Result #1205146
Digital (216, 228, 5596778)-net over F3, using trace code for nets based on digital (102, 114, 2798389)-net over F9, using
- net defined by OOA [i] based on linear OOA(9114, 2798389, F9, 15, 12) (dual of [(2798389, 15), 41975721, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(9114, 5596779, F9, 3, 12) (dual of [(5596779, 3), 16790223, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(924, 4377, F9, 3, 6) (dual of [(4377, 3), 13107, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(924, 13131, F9, 6) (dual of [13131, 13107, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(924, 13132, F9, 6) (dual of [13132, 13108, 7]-code), using
- trace code [i] based on linear OA(8112, 6566, F81, 6) (dual of [6566, 6554, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(817, 6561, F81, 4) (dual of [6561, 6554, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- trace code [i] based on linear OA(8112, 6566, F81, 6) (dual of [6566, 6554, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(924, 13132, F9, 6) (dual of [13132, 13108, 7]-code), using
- OOA 3-folding [i] based on linear OA(924, 13131, F9, 6) (dual of [13131, 13107, 7]-code), using
- linear OOA(990, 5592402, F9, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- linear OOA(924, 4377, F9, 3, 6) (dual of [(4377, 3), 13107, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA 2-folding and stacking with additional row [i] based on linear OOA(9114, 5596779, F9, 3, 12) (dual of [(5596779, 3), 16790223, 13]-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.