Information on Result #1047788
Linear OOA(2180, 201, F2, 3, 42) (dual of [(201, 3), 423, 43]-NRT-code), using trace code based on linear OOA(860, 67, F8, 3, 42) (dual of [(67, 3), 141, 43]-NRT-code), using
- construction X applied to AG(3;F,149P) ⊂ AG(3;F,154P) [i] based on
- linear OOA(856, 64, F8, 3, 42) (dual of [(64, 3), 136, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,149P) [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(851, 64, F8, 3, 37) (dual of [(64, 3), 141, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,154P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(84, 3, F8, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 3, 4) (dual of [(8, 3), 20, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;20,8) [i]
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 3, 4) (dual of [(8, 3), 20, 5]-NRT-code), using
- linear OOA(856, 64, F8, 3, 42) (dual of [(64, 3), 136, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,149P) [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(2183, 202, F2, 3, 42) (dual of [(202, 3), 423, 43]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2181, 201, F2, 3, 42) (dual of [(201, 3), 422, 43]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2182, 201, F2, 3, 42) (dual of [(201, 3), 421, 43]-NRT-code) | [i] | ||
| 4 | Linear OOA(2180, 100, F2, 6, 42) (dual of [(100, 6), 420, 43]-NRT-code) | [i] | OOA Folding | |