Information on Result #659181
Linear OA(4238, 454, F4, 78) (dual of [454, 216, 79]-code), using trace code based on linear OA(16119, 227, F16, 78) (dual of [227, 108, 79]-code), using
- construction X applied to AG(F,145P) ⊂ AG(F,147P) [i] based on
- linear OA(16118, 224, F16, 78) (dual of [224, 106, 79]-code), using algebraic-geometric code AG(F,145P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OA(16116, 224, F16, 76) (dual of [224, 108, 77]-code), using algebraic-geometric code AG(F,147P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225 (see above)
- linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(4239, 455, F4, 78) (dual of [455, 216, 79]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4238, 227, F4, 2, 78) (dual of [(227, 2), 216, 79]-NRT-code) | [i] | OOA Folding | |