Information on Result #920545
Linear OOA(5131, 81, F5, 2, 90) (dual of [(81, 2), 31, 91]-NRT-code), using construction X applied to AG(2;F,51P) ⊂ AG(2;F,61P) based on
- linear OOA(5121, 71, F5, 2, 90) (dual of [(71, 2), 21, 91]-NRT-code), using algebraic-geometric NRT-code AG(2;F,51P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- linear OOA(5111, 71, F5, 2, 80) (dual of [(71, 2), 31, 81]-NRT-code), using algebraic-geometric NRT-code AG(2;F,61P) [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(5131, 81, F5, 2, 89) (dual of [(81, 2), 31, 90]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5133, 82, F5, 2, 90) (dual of [(82, 2), 31, 91]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |