Information on Result #1126782
Linear OOA(3178, 58, F3, 5, 104) (dual of [(58, 5), 112, 105]-NRT-code), using construction X applied to AG(5;F,130P) ⊂ AG(5;F,156P) based on
- linear OOA(3149, 47, F3, 5, 104) (dual of [(47, 5), 86, 105]-NRT-code), using algebraic-geometric NRT-code AG(5;F,130P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3123, 47, F3, 5, 78) (dual of [(47, 5), 112, 79]-NRT-code), using algebraic-geometric NRT-code AG(5;F,156P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(329, 11, F3, 5, 25) (dual of [(11, 5), 26, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(329, 12, F3, 5, 25) (dual of [(12, 5), 31, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,34P) [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(329, 12, F3, 5, 25) (dual of [(12, 5), 31, 26]-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(3178, 58, F3, 5, 103) (dual of [(58, 5), 112, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3178, 58, F3, 5, 102) (dual of [(58, 5), 112, 103]-NRT-code) | [i] | ||