Information on Result #1183880
Digital (140, 153, 1399193)-net over F3, using net defined by OOA based on linear OOA(3153, 1399193, F3, 14, 13) (dual of [(1399193, 14), 19588549, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3153, 4197580, F3, 2, 13) (dual of [(4197580, 2), 8395007, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3153, 4197581, F3, 2, 13) (dual of [(4197581, 2), 8395009, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(332, 3280, F3, 2, 6) (dual of [(3280, 2), 6528, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(332, 6560, F3, 6) (dual of [6560, 6528, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(332, 6561, F3, 6) (dual of [6561, 6529, 7]-code), using
- 1 times truncation [i] based on linear OA(333, 6562, F3, 7) (dual of [6562, 6529, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(333, 6562, F3, 7) (dual of [6562, 6529, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(332, 6561, F3, 6) (dual of [6561, 6529, 7]-code), using
- OOA 2-folding [i] based on linear OA(332, 6560, F3, 6) (dual of [6560, 6528, 7]-code), using
- linear OOA(3121, 4194301, F3, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- OOA 2-folding [i] based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-code), using
- linear OOA(332, 3280, F3, 2, 6) (dual of [(3280, 2), 6528, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3153, 4197581, F3, 2, 13) (dual of [(4197581, 2), 8395009, 14]-NRT-code), using
Mode: Constructive and 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.