Information on Result #659136
Linear OA(4216, 454, F4, 67) (dual of [454, 238, 68]-code), using trace code based on linear OA(16108, 227, F16, 67) (dual of [227, 119, 68]-code), using
- construction X applied to AG(F,156P) ⊂ AG(F,158P) [i] based on
- linear OA(16107, 224, F16, 67) (dual of [224, 117, 68]-code), using algebraic-geometric code AG(F,156P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OA(16105, 224, F16, 65) (dual of [224, 119, 66]-code), using algebraic-geometric code AG(F,158P) [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(4217, 455, F4, 67) (dual of [455, 238, 68]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4216, 227, F4, 2, 67) (dual of [(227, 2), 238, 68]-NRT-code) | [i] | OOA Folding | |