Information on Result #659439
Linear OA(4240, 537, F4, 72) (dual of [537, 297, 73]-code), using trace code based on linear OA(6480, 179, F64, 72) (dual of [179, 99, 73]-code), using
- construction X applied to AG(F,103P) ⊂ AG(F,105P) [i] based on
- linear OA(6479, 176, F64, 72) (dual of [176, 97, 73]-code), using algebraic-geometric code AG(F,103P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6477, 176, F64, 70) (dual of [176, 99, 71]-code), using algebraic-geometric code AG(F,105P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 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(4241, 538, F4, 72) (dual of [538, 297, 73]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4242, 539, F4, 72) (dual of [539, 297, 73]-code) | [i] | ||
| 3 | Linear OOA(4240, 268, F4, 2, 72) (dual of [(268, 2), 296, 73]-NRT-code) | [i] | OOA Folding | |