Information on Result #1288641
Linear OA(4117, 125, F4, 83) (dual of [125, 8, 84]-code), using concatenation of two codes based on
- linear OA(1621, 25, F16, 20) (dual of [25, 4, 21]-code), using
- extended algebraic-geometric code AGe(F,4P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 25, using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
Mode: 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4116, 124, F4, 82) (dual of [124, 8, 83]-code) | [i] | Truncation | |
| 2 | Linear OA(4115, 123, F4, 81) (dual of [123, 8, 82]-code) | [i] | ||
| 3 | Linear OA(4114, 122, F4, 80) (dual of [122, 8, 81]-code) | [i] | ||