Information on Result #937433
Linear OOA(8182, 388, F81, 2, 47) (dual of [(388, 2), 694, 48]-NRT-code), using construction X applied to AG(2;F,690P) ⊂ AG(2;F,710P) based on
- linear OOA(8163, 369, F81, 2, 47) (dual of [(369, 2), 675, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,690P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8143, 369, F81, 2, 27) (dual of [(369, 2), 695, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,710P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8119, 19, F81, 2, 19) (dual of [(19, 2), 19, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8119, 81, F81, 2, 19) (dual of [(81, 2), 143, 20]-NRT-code), using
- Reed–Solomon NRT-code RS(2;143,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8119, 81, F81, 2, 19) (dual of [(81, 2), 143, 20]-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(8182, 194, F81, 3, 47) (dual of [(194, 3), 500, 48]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8182, 194, F81, 4, 47) (dual of [(194, 4), 694, 48]-NRT-code) | [i] | ||