Information on Result #2873930
Linear OOA(3136, 1677762, F3, 5, 13) (dual of [(1677762, 5), 8388674, 14]-NRT-code), using 32 times duplication based on linear OOA(3134, 1677762, F3, 5, 13) (dual of [(1677762, 5), 8388676, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(313, 42, F3, 5, 6) (dual of [(42, 5), 197, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(3121, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388479, 14]-NRT-code), using
- OOA 5-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 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-code), using
- linear OOA(313, 42, F3, 5, 6) (dual of [(42, 5), 197, 7]-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.
Other Results with Identical Parameters
None.
Depending Results
None.