Information on Result #1049594
Linear OOA(4255, 91, F4, 3, 186) (dual of [(91, 3), 18, 187]-NRT-code), using juxtaposition based on
- linear OOA(481, 33, F4, 3, 66) (dual of [(33, 3), 18, 67]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(4156, 58, F4, 3, 119) (dual of [(58, 3), 18, 120]-NRT-code), using
- construction X applied to AG(3;F,45P) ⊂ AG(3;F,50P) [i] based on
- linear OOA(4152, 55, F4, 3, 119) (dual of [(55, 3), 13, 120]-NRT-code), using algebraic-geometric NRT-code AG(3;F,45P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4147, 55, F4, 3, 114) (dual of [(55, 3), 18, 115]-NRT-code), using algebraic-geometric NRT-code AG(3;F,50P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(44, 3, F4, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,4) [i]
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- linear OOA(4152, 55, F4, 3, 119) (dual of [(55, 3), 13, 120]-NRT-code), using algebraic-geometric NRT-code AG(3;F,45P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- construction X applied to AG(3;F,45P) ⊂ AG(3;F,50P) [i] based on
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(4255, 91, F4, 3, 185) (dual of [(91, 3), 18, 186]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4255, 91, F4, 3, 184) (dual of [(91, 3), 18, 185]-NRT-code) | [i] | ||
| 3 | Linear OOA(4255, 91, F4, 3, 183) (dual of [(91, 3), 18, 184]-NRT-code) | [i] | ||
| 4 | Linear OOA(4253, 90, F4, 3, 184) (dual of [(90, 3), 17, 185]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(4252, 90, F4, 3, 183) (dual of [(90, 3), 18, 184]-NRT-code) | [i] | ||