Information on Result #3262565
Digital (53, 59, large)-net over F9, using 93 times duplication based on digital (50, 56, large)-net over F9, using
- trace code for nets [i] based on digital (22, 28, 5592401)-net over F81, using
- net defined by OOA [i] based on linear OOA(8128, 5592401, F81, 9, 6) (dual of [(5592401, 9), 50331581, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(8128, 5592402, F81, 3, 6) (dual of [(5592402, 3), 16777178, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(817, large, F81, 3, 3), using
- appending kth column [i] based on linear OOA(817, large, F81, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(817, large, F81, 3) (dual of [large, large−7, 4]-code), using
- appending kth column [i] based on linear OOA(817, large, F81, 2, 3), using
- linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- linear OOA(817, large, F81, 3, 3), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(8128, 5592402, F81, 3, 6) (dual of [(5592402, 3), 16777178, 7]-NRT-code), using
- net defined by OOA [i] based on linear OOA(8128, 5592401, F81, 9, 6) (dual of [(5592401, 9), 50331581, 7]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.