Information on Result #1214822
Digital (84, 105, 1698)-net over F7, using (u, u+v)-construction based on
- digital (5, 15, 18)-net over F7, using
- 3 times m-reduction [i] based on digital (5, 18, 18)-net over F7, using
- digital (69, 90, 1680)-net over F7, using
- net defined by OOA [i] based on linear OOA(790, 1680, F7, 21, 21) (dual of [(1680, 21), 35190, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(790, 16801, F7, 21) (dual of [16801, 16711, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(790, 16806, F7, 21) (dual of [16806, 16716, 22]-code), using
- 1 times truncation [i] based on linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 1 times truncation [i] based on linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(790, 16806, F7, 21) (dual of [16806, 16716, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(790, 16801, F7, 21) (dual of [16801, 16711, 22]-code), using
- net defined by OOA [i] based on linear OOA(790, 1680, F7, 21, 21) (dual of [(1680, 21), 35190, 22]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.