Information on Result #1021158
Linear OOA(3107, 5592406, F3, 3, 8) (dual of [(5592406, 3), 16777111, 9]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(32, 4, F3, 3, 2) (dual of [(4, 3), 10, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;10,3) [i]
- linear OOA(329, 2796201, F3, 3, 4) (dual of [(2796201, 3), 8388574, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(329, 4782967, F3, 3, 4) (dual of [(4782967, 3), 14348872, 5]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(329, 4782968, F3, 2, 4) (dual of [(4782968, 2), 9565907, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (25, 29, 4782968)-net over F3, using
- OOA stacking with additional row [i] based on linear OOA(329, 4782968, F3, 2, 4) (dual of [(4782968, 2), 9565907, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(329, 4782967, F3, 3, 4) (dual of [(4782967, 3), 14348872, 5]-NRT-code), using
- linear OOA(376, 2796201, F3, 3, 8) (dual of [(2796201, 3), 8388527, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 3-folding [i] based on linear OA(376, large, F3, 8) (dual of [large, large−76, 9]-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.