Information on Result #1087173
Linear OOA(3243, 67, F3, 4, 172) (dual of [(67, 4), 25, 173]-NRT-code), using juxtaposition based on
- linear OOA(399, 31, F3, 4, 78) (dual of [(31, 4), 25, 79]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(399, 32, F3, 4, 78) (dual of [(32, 4), 29, 79]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,49P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- discarding factors / shortening the dual code based on linear OOA(399, 32, F3, 4, 78) (dual of [(32, 4), 29, 79]-NRT-code), using
- linear OOA(3119, 36, F3, 4, 93) (dual of [(36, 4), 25, 94]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,50P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,25P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
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(3243, 67, F3, 4, 171) (dual of [(67, 4), 25, 172]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3243, 67, F3, 4, 170) (dual of [(67, 4), 25, 171]-NRT-code) | [i] | ||
| 3 | Linear OOA(3243, 67, F3, 4, 169) (dual of [(67, 4), 25, 170]-NRT-code) | [i] | ||