Information on Result #1087106
Linear OOA(3243, 69, F3, 4, 160) (dual of [(69, 4), 33, 161]-NRT-code), using juxtaposition based on
- linear OOA(399, 33, F3, 4, 74) (dual of [(33, 4), 33, 75]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(395, 32, F3, 4, 74) (dual of [(32, 4), 33, 75]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,53P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(395, 32, F3, 4, 74) (dual of [(32, 4), 33, 75]-NRT-code), using
- linear OOA(3111, 36, F3, 4, 85) (dual of [(36, 4), 33, 86]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,58P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,29P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
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(3243, 69, F3, 4, 159) (dual of [(69, 4), 33, 160]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3243, 69, F3, 4, 158) (dual of [(69, 4), 33, 159]-NRT-code) | [i] | ||
| 3 | Linear OOA(3243, 69, F3, 4, 157) (dual of [(69, 4), 33, 158]-NRT-code) | [i] | ||
| 4 | Linear OOA(3243, 69, F3, 4, 156) (dual of [(69, 4), 33, 157]-NRT-code) | [i] | ||
| 5 | Linear OOA(3231, 66, F3, 4, 148) (dual of [(66, 4), 33, 149]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3229, 65, F3, 4, 146) (dual of [(65, 4), 31, 147]-NRT-code) | [i] | ||
| 7 | Linear OOA(3228, 65, F3, 4, 145) (dual of [(65, 4), 32, 146]-NRT-code) | [i] | ||
| 8 | Linear OOA(3227, 65, F3, 4, 144) (dual of [(65, 4), 33, 145]-NRT-code) | [i] | ||