Information on Result #937377
Linear OOA(8182, 384, F81, 2, 51) (dual of [(384, 2), 686, 52]-NRT-code), using construction X applied to AG(2;F,686P) ⊂ AG(2;F,702P) based on
- linear OOA(8167, 369, F81, 2, 51) (dual of [(369, 2), 671, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,686P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8151, 369, F81, 2, 35) (dual of [(369, 2), 687, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,702P) [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(8182, 192, F81, 3, 51) (dual of [(192, 3), 494, 52]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8182, 192, F81, 4, 51) (dual of [(192, 4), 686, 52]-NRT-code) | [i] | ||