Information on Result #936988
Linear OOA(8176, 372, F81, 2, 57) (dual of [(372, 2), 668, 58]-NRT-code), using construction X applied to AG(2;F,680P) ⊂ AG(2;F,684P) based on
- linear OOA(8173, 369, F81, 2, 57) (dual of [(369, 2), 665, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,680P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8169, 369, F81, 2, 53) (dual of [(369, 2), 669, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,684P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(813, 3, F81, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 81, F81, 2, 3) (dual of [(81, 2), 159, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;159,81) [i]
- discarding factors / shortening the dual code based on linear OOA(813, 81, F81, 2, 3) (dual of [(81, 2), 159, 4]-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(8176, 186, F81, 4, 57) (dual of [(186, 4), 668, 58]-NRT-code) | [i] | OOA Folding | |