Information on Result #920574
Linear OOA(5102, 81, F5, 2, 61) (dual of [(81, 2), 60, 62]-NRT-code), using construction X applied to AG(2;F,80P) ⊂ AG(2;F,90P) based on
- linear OOA(592, 71, F5, 2, 61) (dual of [(71, 2), 50, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,80P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- linear OOA(582, 71, F5, 2, 51) (dual of [(71, 2), 60, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,90P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72 (see above)
- linear OOA(510, 10, F5, 2, 9) (dual of [(10, 2), 10, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,10P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, 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(5102, 81, F5, 2, 60) (dual of [(81, 2), 60, 61]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5104, 82, F5, 2, 61) (dual of [(82, 2), 60, 62]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |