Information on Result #937338
Linear OOA(8181, 382, F81, 2, 52) (dual of [(382, 2), 683, 53]-NRT-code), using construction X applied to AG(2;F,685P) ⊂ AG(2;F,699P) based on
- linear OOA(8168, 369, F81, 2, 52) (dual of [(369, 2), 670, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,685P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8154, 369, F81, 2, 38) (dual of [(369, 2), 684, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,699P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8113, 13, F81, 2, 13) (dual of [(13, 2), 13, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8113, 81, F81, 2, 13) (dual of [(81, 2), 149, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(2;149,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8113, 81, F81, 2, 13) (dual of [(81, 2), 149, 14]-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 | OOA(27108, 382, S27, 2, 52) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(8181, 191, F81, 3, 52) (dual of [(191, 3), 492, 53]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8181, 191, F81, 4, 52) (dual of [(191, 4), 683, 53]-NRT-code) | [i] | ||