Information on Result #1047876
Linear OOA(2246, 213, F2, 3, 58) (dual of [(213, 3), 393, 59]-NRT-code), using trace code based on linear OOA(882, 71, F8, 3, 58) (dual of [(71, 3), 131, 59]-NRT-code), using
- construction X applied to AG(3;F,133P) ⊂ AG(3;F,144P) [i] based on
- linear OOA(872, 64, F8, 3, 58) (dual of [(64, 3), 120, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,133P) [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(861, 64, F8, 3, 47) (dual of [(64, 3), 131, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,144P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(810, 7, F8, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, 8, F8, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;14,8) [i]
- discarding factors / shortening the dual code based on linear OOA(810, 8, F8, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
- linear OOA(872, 64, F8, 3, 58) (dual of [(64, 3), 120, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,133P) [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(2249, 214, F2, 3, 58) (dual of [(214, 3), 393, 59]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2247, 213, F2, 3, 58) (dual of [(213, 3), 392, 59]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2248, 213, F2, 3, 58) (dual of [(213, 3), 391, 59]-NRT-code) | [i] | ||
| 4 | Linear OOA(2246, 106, F2, 6, 58) (dual of [(106, 6), 390, 59]-NRT-code) | [i] | OOA Folding | |