Information on Result #1081101
Linear OOA(3194, 4194384, F3, 4, 13) (dual of [(4194384, 4), 16777342, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(360, 2796201, F3, 4, 6) (dual of [(2796201, 4), 11184744, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(360, large, F3, 6) (dual of [large, large−60, 7]-code), using
- linear OOA(3134, 2097192, F3, 4, 13) (dual of [(2097192, 4), 8388634, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(313, 42, F3, 4, 6) (dual of [(42, 4), 155, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(3121, 2097150, F3, 4, 13) (dual of [(2097150, 4), 8388479, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 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 4-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-code), using
- linear OOA(313, 42, F3, 4, 6) (dual of [(42, 4), 155, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.