Information on Result #1771438
Digital (219, 240, 4194396)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3240, 4194396, F3, 2, 21) (dual of [(4194396, 2), 8388552, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(330, 95, F3, 2, 10) (dual of [(95, 2), 160, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(330, 95, F3, 10) (dual of [95, 65, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(330, 121, F3, 10) (dual of [121, 91, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(330, 95, F3, 10) (dual of [95, 65, 11]-code), using
- linear OOA(3210, 4194301, F3, 2, 21) (dual of [(4194301, 2), 8388392, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-code), using
- linear OOA(330, 95, F3, 2, 10) (dual of [(95, 2), 160, 11]-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.