Information on Result #1084485
Linear OOA(3225, 72, F3, 4, 125) (dual of [(72, 4), 63, 126]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(354, 24, F3, 4, 41) (dual of [(24, 4), 42, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,54P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- linear OOA(375, 24, F3, 4, 62) (dual of [(24, 4), 21, 63]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,33P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24 (see above)
- linear OOA(396, 24, F3, 4, 96) (dual of [(24, 4), 0, 97]-NRT-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3225, 72, F3, 4, 124) (dual of [(72, 4), 63, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3225, 72, F3, 4, 123) (dual of [(72, 4), 63, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(3225, 72, F3, 4, 122) (dual of [(72, 4), 63, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(3229, 73, F3, 4, 125) (dual of [(73, 4), 63, 126]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(3226, 72, F3, 4, 125) (dual of [(72, 4), 62, 126]-NRT-code) | [i] | OOA Duplication | |