Information on Result #890103
Linear OOA(79, 13, F7, 2, 8) (dual of [(13, 2), 17, 9]-NRT-code), using extracting embedded OOA based on digital (1, 9, 13)-net over F7, using
- 4 times m-reduction [i] based on digital (1, 13, 13)-net over F7, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(79, 13, F7, 2, 7) (dual of [(13, 2), 17, 8]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(711, 14, F7, 2, 8) (dual of [(14, 2), 17, 9]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(781, 8422, F7, 2, 17) (dual of [(8422, 2), 16763, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(7103, 63, F7, 2, 62) (dual of [(63, 2), 23, 63]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(762, 44, F7, 2, 35) (dual of [(44, 2), 26, 36]-NRT-code) | [i] | ||
| 6 | Linear OOA(746, 36, F7, 2, 25) (dual of [(36, 2), 26, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(7110, 104, F7, 2, 68) (dual of [(104, 2), 98, 69]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |
| 8 | Linear OOA(7109, 104, F7, 2, 67) (dual of [(104, 2), 99, 68]-NRT-code) | [i] | ||
| 9 | Linear OOA(7108, 104, F7, 2, 66) (dual of [(104, 2), 100, 67]-NRT-code) | [i] | ||
| 10 | Linear OOA(7107, 104, F7, 2, 65) (dual of [(104, 2), 101, 66]-NRT-code) | [i] | ||
| 11 | Linear OOA(7106, 104, F7, 2, 64) (dual of [(104, 2), 102, 65]-NRT-code) | [i] | ||
| 12 | Linear OOA(7105, 104, F7, 2, 63) (dual of [(104, 2), 103, 64]-NRT-code) | [i] | ||
| 13 | Linear OOA(7104, 104, F7, 2, 62) (dual of [(104, 2), 104, 63]-NRT-code) | [i] | ||
| 14 | Linear OOA(7103, 104, F7, 2, 61) (dual of [(104, 2), 105, 62]-NRT-code) | [i] | ||
| 15 | Linear OOA(7102, 104, F7, 2, 60) (dual of [(104, 2), 106, 61]-NRT-code) | [i] | ||
| 16 | Linear OOA(7101, 104, F7, 2, 59) (dual of [(104, 2), 107, 60]-NRT-code) | [i] | ||
| 17 | Linear OOA(7100, 104, F7, 2, 58) (dual of [(104, 2), 108, 59]-NRT-code) | [i] | ||
| 18 | Linear OOA(799, 104, F7, 2, 57) (dual of [(104, 2), 109, 58]-NRT-code) | [i] | ||
| 19 | Linear OOA(798, 104, F7, 2, 56) (dual of [(104, 2), 110, 57]-NRT-code) | [i] | ||
| 20 | Linear OOA(797, 104, F7, 2, 55) (dual of [(104, 2), 111, 56]-NRT-code) | [i] | ||
| 21 | Linear OOA(796, 104, F7, 2, 54) (dual of [(104, 2), 112, 55]-NRT-code) | [i] | ||