Information on Result #659213
Linear OA(4248, 454, F4, 83) (dual of [454, 206, 84]-code), using trace code based on linear OA(16124, 227, F16, 83) (dual of [227, 103, 84]-code), using
- construction X applied to AG(F,140P) ⊂ AG(F,142P) [i] based on
- linear OA(16123, 224, F16, 83) (dual of [224, 101, 84]-code), using algebraic-geometric code AG(F,140P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OA(16121, 224, F16, 81) (dual of [224, 103, 82]-code), using algebraic-geometric code AG(F,142P) [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(4249, 455, F4, 83) (dual of [455, 206, 84]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4248, 227, F4, 2, 83) (dual of [(227, 2), 206, 84]-NRT-code) | [i] | OOA Folding | |