Information on Result #1092178
Linear OOA(3214, 75, F3, 4, 106) (dual of [(75, 4), 86, 107]-NRT-code), using construction X applied to AG(4;F,81P) ⊂ AG(4;F,130P) based on
- linear OOA(3151, 47, F3, 4, 106) (dual of [(47, 4), 37, 107]-NRT-code), using algebraic-geometric NRT-code AG(4;F,81P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3102, 47, F3, 4, 57) (dual of [(47, 4), 86, 58]-NRT-code), using algebraic-geometric NRT-code AG(4;F,130P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(363, 28, F3, 4, 48) (dual of [(28, 4), 49, 49]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,63P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, 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(3214, 75, F3, 4, 105) (dual of [(75, 4), 86, 106]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3214, 75, F3, 4, 104) (dual of [(75, 4), 86, 105]-NRT-code) | [i] | ||
| 3 | Linear OOA(3218, 76, F3, 4, 106) (dual of [(76, 4), 86, 107]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |