Information on Result #1027712
Linear OOA(798, 34, F7, 3, 87) (dual of [(34, 3), 4, 88]-NRT-code), using juxtaposition based on
- linear OOA(720, 8, F7, 3, 20) (dual of [(8, 3), 4, 21]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,7) [i]
- linear OOA(774, 26, F7, 3, 66) (dual of [(26, 3), 4, 67]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(720, 8, F7, 3, 20) (dual of [(8, 3), 4, 21]-NRT-code) (see above)
- linear OOA(750, 18, F7, 3, 45) (dual of [(18, 3), 4, 46]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(723, 9, F7, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 23, 9)-net over F7, using
- net from sequence [i] based on digital (1, 8)-sequence over F7, using
- extracting embedded OOA [i] based on digital (1, 23, 9)-net over F7, using
- repeating each code word 2 times [i] based on linear OOA(723, 9, F7, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
- juxtaposition [i] based on
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(798, 34, F7, 3, 86) (dual of [(34, 3), 4, 87]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(798, 34, F7, 3, 85) (dual of [(34, 3), 4, 86]-NRT-code) | [i] | ||
| 3 | Linear OOA(798, 34, F7, 3, 84) (dual of [(34, 3), 4, 85]-NRT-code) | [i] | ||
| 4 | Linear OOA(790, 31, F7, 3, 79) (dual of [(31, 3), 3, 80]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(789, 31, F7, 3, 78) (dual of [(31, 3), 4, 79]-NRT-code) | [i] | ||
| 6 | Linear OOA(786, 30, F7, 3, 75) (dual of [(30, 3), 4, 76]-NRT-code) | [i] | ||
| 7 | Linear OOA(783, 29, F7, 3, 72) (dual of [(29, 3), 4, 73]-NRT-code) | [i] | ||
| 8 | Linear OOA(777, 27, F7, 3, 66) (dual of [(27, 3), 4, 67]-NRT-code) | [i] | ||