Information on Result #937324
Linear OOA(8172, 381, F81, 2, 44) (dual of [(381, 2), 690, 45]-NRT-code), using construction X applied to AG(2;F,693P) ⊂ AG(2;F,706P) based on
- linear OOA(8160, 369, F81, 2, 44) (dual of [(369, 2), 678, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,693P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8147, 369, F81, 2, 31) (dual of [(369, 2), 691, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,706P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8112, 12, F81, 2, 12) (dual of [(12, 2), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8112, 81, F81, 2, 12) (dual of [(81, 2), 150, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(2;150,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8112, 81, F81, 2, 12) (dual of [(81, 2), 150, 13]-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(9144, 762, F9, 2, 44) (dual of [(762, 2), 1380, 45]-NRT-code) | [i] | Trace Code for OOAs | |