Information on Result #663282
Linear OA(786, 16819, F7, 18) (dual of [16819, 16733, 19]-code), using (u, u+v)-construction based on
- linear OA(710, 12, F7, 9) (dual of [12, 2, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(710, 13, F7, 9) (dual of [13, 3, 10]-code), using
- extracting embedded orthogonal array [i] based on digital (1, 10, 13)-net over F7, using
- 3 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded orthogonal array [i] based on digital (1, 10, 13)-net over F7, using
- discarding factors / shortening the dual code based on linear OA(710, 13, F7, 9) (dual of [13, 3, 10]-code), using
- linear OA(776, 16807, F7, 18) (dual of [16807, 16731, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.