Information on Result #1047748
Linear OOA(2186, 118, F2, 3, 54) (dual of [(118, 3), 168, 55]-NRT-code), using trace code based on linear OOA(493, 59, F4, 3, 54) (dual of [(59, 3), 84, 55]-NRT-code), using
- construction X applied to AG(3;F,110P) ⊂ AG(3;F,117P) [i] based on
- linear OOA(487, 55, F4, 3, 54) (dual of [(55, 3), 78, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,110P) [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(480, 55, F4, 3, 47) (dual of [(55, 3), 85, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,117P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,4) [i]
- linear OOA(487, 55, F4, 3, 54) (dual of [(55, 3), 78, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,110P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, 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(2187, 118, F2, 3, 54) (dual of [(118, 3), 167, 55]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2186, 59, F2, 5, 54) (dual of [(59, 5), 109, 55]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2186, 59, F2, 6, 54) (dual of [(59, 6), 168, 55]-NRT-code) | [i] | ||