Information on Result #1013946
Linear OOA(794, 274532, F7, 3, 14) (dual of [(274532, 3), 823502, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(78, 13, F7, 3, 7) (dual of [(13, 3), 31, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 8, 13)-net over F7, using
- 5 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 8, 13)-net over F7, using
- linear OOA(786, 274519, F7, 3, 14) (dual of [(274519, 3), 823471, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(786, 823557, F7, 14) (dual of [823557, 823471, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(786, 823558, F7, 14) (dual of [823558, 823472, 15]-code), using
- construction X applied to Ce(14) ⊂ Ce(11) [i] based on
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(771, 823543, F7, 12) (dual of [823543, 823472, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(71, 15, F7, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(786, 823558, F7, 14) (dual of [823558, 823472, 15]-code), using
- OOA 3-folding [i] based on linear OA(786, 823557, F7, 14) (dual of [823557, 823471, 15]-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.