Information on Result #1046129
Linear OOA(6478, 183, F64, 3, 61) (dual of [(183, 3), 471, 62]-NRT-code), using construction X applied to AG(3;F,466P) ⊂ AG(3;F,477P) based on
- linear OOA(6468, 176, F64, 3, 61) (dual of [(176, 3), 460, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,466P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6457, 176, F64, 3, 50) (dual of [(176, 3), 471, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,477P) [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(6478, 183, F64, 3, 60) (dual of [(183, 3), 471, 61]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4234, 549, F4, 3, 61) (dual of [(549, 3), 1413, 62]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8156, 366, F8, 3, 61) (dual of [(366, 3), 942, 62]-NRT-code) | [i] | ||