Information on Result #937291
Linear OOA(8180, 380, F81, 2, 53) (dual of [(380, 2), 680, 54]-NRT-code), using construction X applied to AG(2;F,684P) ⊂ AG(2;F,696P) based on
- 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, using
- linear OOA(8157, 369, F81, 2, 41) (dual of [(369, 2), 681, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,696P) [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 | OOA(27107, 380, S27, 2, 53) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(8180, 190, F81, 3, 53) (dual of [(190, 3), 490, 54]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8180, 190, F81, 4, 53) (dual of [(190, 4), 680, 54]-NRT-code) | [i] | ||