Information on Result #1047847
Linear OOA(2228, 204, F2, 3, 56) (dual of [(204, 3), 384, 57]-NRT-code), using trace code based on linear OOA(876, 68, F8, 3, 56) (dual of [(68, 3), 128, 57]-NRT-code), using
- construction X applied to AG(3;F,135P) ⊂ AG(3;F,142P) [i] based on
- linear OOA(870, 64, F8, 3, 56) (dual of [(64, 3), 122, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,135P) [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(863, 64, F8, 3, 49) (dual of [(64, 3), 129, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,142P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(86, 4, F8, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 3, 6) (dual of [(8, 3), 18, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;18,8) [i]
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 3, 6) (dual of [(8, 3), 18, 7]-NRT-code), using
- linear OOA(870, 64, F8, 3, 56) (dual of [(64, 3), 122, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,135P) [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(2229, 204, F2, 3, 56) (dual of [(204, 3), 383, 57]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2230, 204, F2, 3, 56) (dual of [(204, 3), 382, 57]-NRT-code) | [i] | ||
| 3 | Linear OOA(2228, 102, F2, 5, 56) (dual of [(102, 5), 282, 57]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2228, 102, F2, 6, 56) (dual of [(102, 6), 384, 57]-NRT-code) | [i] | ||