Information on Result #937289
Linear OOA(8182, 380, F81, 2, 55) (dual of [(380, 2), 678, 56]-NRT-code), using construction X applied to AG(2;F,682P) ⊂ AG(2;F,694P) based on
- linear OOA(8171, 369, F81, 2, 55) (dual of [(369, 2), 667, 56]-NRT-code), using algebraic-geometric NRT-code AG(2;F,682P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8159, 369, F81, 2, 43) (dual of [(369, 2), 679, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,694P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8111, 11, F81, 2, 11) (dual of [(11, 2), 11, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8111, 81, F81, 2, 11) (dual of [(81, 2), 151, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(2;151,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8111, 81, F81, 2, 11) (dual of [(81, 2), 151, 12]-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, 190, F81, 3, 55) (dual of [(190, 3), 488, 56]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8182, 190, F81, 4, 55) (dual of [(190, 4), 678, 56]-NRT-code) | [i] | ||