Information on Result #1092119
Linear OOA(3227, 73, F3, 4, 123) (dual of [(73, 4), 65, 124]-NRT-code), using construction X applied to AG(4;F,64P) ⊂ AG(4;F,109P) based on
- linear OOA(3168, 47, F3, 4, 123) (dual of [(47, 4), 20, 124]-NRT-code), using algebraic-geometric NRT-code AG(4;F,64P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3123, 47, F3, 4, 78) (dual of [(47, 4), 65, 79]-NRT-code), using algebraic-geometric NRT-code AG(4;F,109P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(359, 26, F3, 4, 44) (dual of [(26, 4), 45, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(359, 28, F3, 4, 44) (dual of [(28, 4), 53, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,67P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(359, 28, F3, 4, 44) (dual of [(28, 4), 53, 45]-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(3227, 73, F3, 4, 122) (dual of [(73, 4), 65, 123]-NRT-code) | [i] | Strength Reduction for OOAs | |