Information on Result #936346
Linear OOA(6486, 190, F64, 2, 65) (dual of [(190, 2), 294, 66]-NRT-code), using construction X applied to AG(2;F,286P) ⊂ AG(2;F,301P) based on
- linear OOA(6472, 176, F64, 2, 65) (dual of [(176, 2), 280, 66]-NRT-code), using algebraic-geometric NRT-code AG(2;F,286P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6457, 176, F64, 2, 50) (dual of [(176, 2), 295, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,301P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6414, 14, F64, 2, 14) (dual of [(14, 2), 14, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6414, 64, F64, 2, 14) (dual of [(64, 2), 114, 15]-NRT-code), using
- Reed–Solomon NRT-code RS(2;114,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6414, 64, F64, 2, 14) (dual of [(64, 2), 114, 15]-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(4258, 570, F4, 2, 65) (dual of [(570, 2), 882, 66]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8172, 380, F8, 2, 65) (dual of [(380, 2), 588, 66]-NRT-code) | [i] | ||
| 3 | Linear OOA(6486, 95, F64, 3, 65) (dual of [(95, 3), 199, 66]-NRT-code) | [i] | OOA Folding | |