Information on Result #1656453
Linear OOA(3223, 89, F3, 5, 137) (dual of [(89, 5), 222, 138]-NRT-code), using construction X applied to AG(5;F,277P) ⊂ AG(5;F,292P) based on
- linear OOA(3208, 83, F3, 5, 137) (dual of [(83, 5), 207, 138]-NRT-code), using algebraic-geometric NRT-code AG(5;F,277P) [i] based on function field F/F3 with g(F) = 71 and N(F) ≥ 84, using
- linear OOA(3193, 83, F3, 5, 122) (dual of [(83, 5), 222, 123]-NRT-code), using algebraic-geometric NRT-code AG(5;F,292P) [i] based on function field F/F3 with g(F) = 71 and N(F) ≥ 84 (see above)
- linear OOA(315, 6, F3, 5, 14) (dual of [(6, 5), 15, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(315, 7, F3, 5, 14) (dual of [(7, 5), 20, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,20P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(315, 7, F3, 5, 14) (dual of [(7, 5), 20, 15]-NRT-code), using
Mode: 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(3223, 89, F3, 5, 136) (dual of [(89, 5), 222, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3223, 89, F3, 5, 135) (dual of [(89, 5), 222, 136]-NRT-code) | [i] | ||