Information on Result #1047746
Linear OOA(2184, 118, F2, 3, 53) (dual of [(118, 3), 170, 54]-NRT-code), using trace code based on linear OOA(492, 59, F4, 3, 53) (dual of [(59, 3), 85, 54]-NRT-code), using
- construction X applied to AG(3;F,111P) ⊂ AG(3;F,118P) [i] based on
- linear OOA(486, 55, F4, 3, 53) (dual of [(55, 3), 79, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,111P) [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(479, 55, F4, 3, 46) (dual of [(55, 3), 86, 47]-NRT-code), using algebraic-geometric NRT-code AG(3;F,118P) [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(486, 55, F4, 3, 53) (dual of [(55, 3), 79, 54]-NRT-code), using algebraic-geometric NRT-code AG(3;F,111P) [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(2185, 118, F2, 3, 53) (dual of [(118, 3), 169, 54]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2184, 59, F2, 5, 53) (dual of [(59, 5), 111, 54]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2184, 59, F2, 6, 53) (dual of [(59, 6), 170, 54]-NRT-code) | [i] | ||