Information on Result #1047835
Linear OOA(2222, 210, F2, 3, 51) (dual of [(210, 3), 408, 52]-NRT-code), using trace code based on linear OOA(874, 70, F8, 3, 51) (dual of [(70, 3), 136, 52]-NRT-code), using
- construction X applied to AG(3;F,140P) ⊂ AG(3;F,150P) [i] based on
- linear OOA(865, 64, F8, 3, 51) (dual of [(64, 3), 127, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,140P) [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(855, 64, F8, 3, 41) (dual of [(64, 3), 137, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,150P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(89, 6, F8, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(89, 8, F8, 3, 9) (dual of [(8, 3), 15, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;15,8) [i]
- discarding factors / shortening the dual code based on linear OOA(89, 8, F8, 3, 9) (dual of [(8, 3), 15, 10]-NRT-code), using
- linear OOA(865, 64, F8, 3, 51) (dual of [(64, 3), 127, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,140P) [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(2223, 210, F2, 3, 51) (dual of [(210, 3), 407, 52]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2224, 210, F2, 3, 51) (dual of [(210, 3), 406, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(2222, 105, F2, 6, 51) (dual of [(105, 6), 408, 52]-NRT-code) | [i] | OOA Folding | |