Information on Result #1013728
Linear OOA(736, 5615, F7, 3, 8) (dual of [(5615, 3), 16809, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(75, 13, F7, 3, 4) (dual of [(13, 3), 34, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 13)-net over F7, using
- 8 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 5, 13)-net over F7, using
- linear OOA(731, 5602, F7, 3, 8) (dual of [(5602, 3), 16775, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(731, 16806, F7, 8) (dual of [16806, 16775, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using
- OOA 3-folding [i] based on linear OA(731, 16806, F7, 8) (dual of [16806, 16775, 9]-code), using
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.