Information on Result #1713504
Digital (147, 162, 2097160)-net over F3, using net defined by OOA based on linear OOA(3162, 2097160, F3, 20, 15) (dual of [(2097160, 20), 41943038, 16]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3162, 4194321, F3, 4, 15) (dual of [(4194321, 4), 16777122, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3162, 4194321, F3, 2, 15) (dual of [(4194321, 2), 8388480, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(312, 20, F3, 2, 7) (dual of [(20, 2), 28, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 12, 20)-net over F3, using
- linear OOA(3150, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-code), using
- linear OOA(312, 20, F3, 2, 7) (dual of [(20, 2), 28, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3162, 4194321, F3, 2, 15) (dual of [(4194321, 2), 8388480, 16]-NRT-code), using
Mode: 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.