Information on Result #1091446
Linear OOA(3175, 58, F3, 4, 106) (dual of [(58, 4), 57, 107]-NRT-code), using construction X applied to AG(4;F,81P) ⊂ AG(4;F,102P) 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(3130, 47, F3, 4, 85) (dual of [(47, 4), 58, 86]-NRT-code), using algebraic-geometric NRT-code AG(4;F,102P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(324, 11, F3, 4, 20) (dual of [(11, 4), 20, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(324, 12, F3, 4, 20) (dual of [(12, 4), 24, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,27P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- discarding factors / shortening the dual code based on linear OOA(324, 12, F3, 4, 20) (dual of [(12, 4), 24, 21]-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(3175, 58, F3, 4, 105) (dual of [(58, 4), 57, 106]-NRT-code) | [i] | Strength Reduction for OOAs | |