Information on Result #921341
Linear OOA(5137, 103, F5, 2, 69) (dual of [(103, 2), 69, 70]-NRT-code), using construction X applied to AG(2;F,72P) ⊂ AG(2;F,99P) based on
- linear OOA(5100, 71, F5, 2, 69) (dual of [(71, 2), 42, 70]-NRT-code), using algebraic-geometric NRT-code AG(2;F,72P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- linear OOA(573, 71, F5, 2, 42) (dual of [(71, 2), 69, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,99P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72 (see above)
- linear OOA(537, 32, F5, 2, 26) (dual of [(32, 2), 27, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,37P) [i] based on function field F/F5 with g(F) = 11 and N(F) ≥ 32, 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(5137, 103, F5, 2, 68) (dual of [(103, 2), 69, 69]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5139, 104, F5, 2, 69) (dual of [(104, 2), 69, 70]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |