Information on Result #938089
Linear OOA(16129, 67, F16, 2, 122) (dual of [(67, 2), 5, 123]-NRT-code), using construction X applied to AG(2;F,5P) ⊂ AG(2;F,10P) based on
- linear OOA(16125, 64, F16, 2, 122) (dual of [(64, 2), 3, 123]-NRT-code), using algebraic-geometric NRT-code AG(2;F,5P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
- linear OOA(16122, 64, F16, 2, 117) (dual of [(64, 2), 6, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(164, 3, F16, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(164, 16, F16, 2, 4) (dual of [(16, 2), 28, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;28,16) [i]
- discarding factors / shortening the dual code based on linear OOA(164, 16, F16, 2, 4) (dual of [(16, 2), 28, 5]-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(16129, 67, F16, 2, 121) (dual of [(67, 2), 5, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |