Information on Result #1047801
Linear OOA(2195, 207, F2, 3, 44) (dual of [(207, 3), 426, 45]-NRT-code), using trace code based on linear OOA(865, 69, F8, 3, 44) (dual of [(69, 3), 142, 45]-NRT-code), using
- construction X applied to AG(3;F,147P) ⊂ AG(3;F,155P) [i] based on
- linear OOA(858, 64, F8, 3, 44) (dual of [(64, 3), 134, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,147P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(850, 64, F8, 3, 36) (dual of [(64, 3), 142, 37]-NRT-code), using algebraic-geometric NRT-code AG(3;F,155P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(87, 5, F8, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;17,8) [i]
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- linear OOA(858, 64, F8, 3, 44) (dual of [(64, 3), 134, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,147P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, 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(2198, 208, F2, 3, 44) (dual of [(208, 3), 426, 45]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2196, 207, F2, 3, 44) (dual of [(207, 3), 425, 45]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2197, 207, F2, 3, 44) (dual of [(207, 3), 424, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(2195, 103, F2, 6, 44) (dual of [(103, 6), 423, 45]-NRT-code) | [i] | OOA Folding | |