Information on Result #1714828
Digital (209, 230, 2087392)-net over F3, using net defined by OOA based on linear OOA(3230, 2087392, F3, 25, 21) (dual of [(2087392, 25), 52184570, 22]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3230, 4174785, F3, 5, 21) (dual of [(4174785, 5), 20873695, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3230, 4174786, F3, 5, 21) (dual of [(4174786, 5), 20873700, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3230, 4174786, F3, 2, 21) (dual of [(4174786, 2), 8349342, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3230, 4194324, F3, 2, 21) (dual of [(4194324, 2), 8388418, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(320, 23, F3, 2, 10) (dual of [(23, 2), 26, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 20, 23)-net over F3, using
- 3 times m-reduction [i] based on digital (10, 23, 23)-net over F3, using
- extracting embedded OOA [i] based on digital (10, 20, 23)-net over F3, 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(320, 23, F3, 2, 10) (dual of [(23, 2), 26, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3230, 4194324, F3, 2, 21) (dual of [(4194324, 2), 8388418, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3230, 4174786, F3, 2, 21) (dual of [(4174786, 2), 8349342, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3230, 4174786, F3, 5, 21) (dual of [(4174786, 5), 20873700, 22]-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.