Information on Result #1714318
Digital (179, 198, 1398110)-net over F3, using net defined by OOA based on linear OOA(3198, 1398110, F3, 25, 19) (dual of [(1398110, 25), 34952552, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3198, 2796221, F3, 5, 19) (dual of [(2796221, 5), 13980907, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3198, 2796221, F3, 3, 19) (dual of [(2796221, 3), 8388465, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(317, 20, F3, 3, 9) (dual of [(20, 3), 43, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 17, 20)-net over F3, using
- 3 times m-reduction [i] based on digital (8, 20, 20)-net over F3, using
- extracting embedded OOA [i] based on digital (8, 17, 20)-net over F3, using
- linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- linear OOA(317, 20, F3, 3, 9) (dual of [(20, 3), 43, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3198, 2796221, F3, 3, 19) (dual of [(2796221, 3), 8388465, 20]-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.