Information on Result #1766508
Digital (165, 182, 4119481)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3182, 4119481, F3, 2, 17) (dual of [(4119481, 2), 8238780, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3182, 4194324, F3, 2, 17) (dual of [(4194324, 2), 8388466, 18]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3180, 4194323, F3, 2, 17) (dual of [(4194323, 2), 8388466, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(314, 22, F3, 2, 8) (dual of [(22, 2), 30, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 14, 22)-net over F3, using
- linear OOA(3166, 4194301, F3, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 18]-code), using
- linear OOA(314, 22, F3, 2, 8) (dual of [(22, 2), 30, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3180, 4194323, F3, 2, 17) (dual of [(4194323, 2), 8388466, 18]-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.