Information on Result #896385
Linear OOA(772, 8425, F7, 2, 15) (dual of [(8425, 2), 16778, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(711, 21, F7, 2, 7) (dual of [(21, 2), 31, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(73, 8, F7, 2, 3) (dual of [(8, 2), 13, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;13,7) [i]
- linear OOA(78, 13, F7, 2, 7) (dual of [(13, 2), 18, 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(73, 8, F7, 2, 3) (dual of [(8, 2), 13, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(761, 8404, F7, 2, 15) (dual of [(8404, 2), 16747, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(761, 16808, F7, 15) (dual of [16808, 16747, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(761, 16808, F7, 15) (dual of [16808, 16747, 16]-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.