Information on Result #935852
Linear OOA(6455, 180, F64, 2, 44) (dual of [(180, 2), 305, 45]-NRT-code), using construction X applied to AG(2;F,307P) ⊂ AG(2;F,312P) based on
- linear OOA(6451, 176, F64, 2, 44) (dual of [(176, 2), 301, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,307P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6446, 176, F64, 2, 39) (dual of [(176, 2), 306, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,312P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(644, 4, F64, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;124,64) [i]
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 5]-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(4165, 540, F4, 2, 44) (dual of [(540, 2), 915, 45]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8110, 360, F8, 2, 44) (dual of [(360, 2), 610, 45]-NRT-code) | [i] | ||
| 3 | Linear OOA(6455, 90, F64, 3, 44) (dual of [(90, 3), 215, 45]-NRT-code) | [i] | OOA Folding | |