Information on Result #1021157
Linear OOA(3131, 5598866, F3, 3, 9) (dual of [(5598866, 3), 16796467, 10]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(312, 6464, F3, 3, 3) (dual of [(6464, 3), 19380, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(312, 6464, F3, 2, 3) (dual of [(6464, 2), 12916, 4]-NRT-code), using
- 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(390, 2796201, F3, 3, 9) (dual of [(2796201, 3), 8388513, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- OOA 3-folding [i] based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-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.