Information on Result #663309
Linear OA(788, 117660, F7, 16) (dual of [117660, 117572, 17]-code), using (u, u+v)-construction based on
- linear OA(79, 11, F7, 8) (dual of [11, 2, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(79, 13, F7, 8) (dual of [13, 4, 9]-code), using
- extracting embedded orthogonal array [i] based on digital (1, 9, 13)-net over F7, using
- 4 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded orthogonal array [i] based on digital (1, 9, 13)-net over F7, using
- discarding factors / shortening the dual code based on linear OA(79, 13, F7, 8) (dual of [13, 4, 9]-code), using
- linear OA(779, 117649, F7, 16) (dual of [117649, 117570, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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.