Information on Result #937378
Linear OOA(8181, 384, F81, 2, 50) (dual of [(384, 2), 687, 51]-NRT-code), using construction X applied to AG(2;F,687P) ⊂ AG(2;F,703P) based on
- linear OOA(8166, 369, F81, 2, 50) (dual of [(369, 2), 672, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,687P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8150, 369, F81, 2, 34) (dual of [(369, 2), 688, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,703P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8115, 15, F81, 2, 15) (dual of [(15, 2), 15, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8115, 81, F81, 2, 15) (dual of [(81, 2), 147, 16]-NRT-code), using
- Reed–Solomon NRT-code RS(2;147,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8115, 81, F81, 2, 15) (dual of [(81, 2), 147, 16]-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(8181, 192, F81, 3, 50) (dual of [(192, 3), 495, 51]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8181, 192, F81, 4, 50) (dual of [(192, 4), 687, 51]-NRT-code) | [i] | ||