Information on Result #1048841
Linear OOA(8166, 366, F8, 3, 66) (dual of [(366, 3), 932, 67]-NRT-code), using trace code based on linear OOA(6483, 183, F64, 3, 66) (dual of [(183, 3), 466, 67]-NRT-code), using
- construction X applied to AG(3;F,461P) ⊂ AG(3;F,472P) [i] based on
- linear OOA(6473, 176, F64, 3, 66) (dual of [(176, 3), 455, 67]-NRT-code), using algebraic-geometric NRT-code AG(3;F,461P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6462, 176, F64, 3, 55) (dual of [(176, 3), 466, 56]-NRT-code), using algebraic-geometric NRT-code AG(3;F,472P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6410, 7, F64, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 3, 10) (dual of [(64, 3), 182, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;182,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 3, 10) (dual of [(64, 3), 182, 11]-NRT-code), 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(8166, 366, F8, 3, 65) (dual of [(366, 3), 932, 66]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8169, 367, F8, 3, 66) (dual of [(367, 3), 932, 67]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8167, 366, F8, 3, 66) (dual of [(366, 3), 931, 67]-NRT-code) | [i] | OOA Duplication | |