Information on Result #1288640
Linear OA(4115, 125, F4, 79) (dual of [125, 10, 80]-code), using concatenation of two codes based on
- linear OA(1620, 25, F16, 19) (dual of [25, 5, 20]-code), using
- extended algebraic-geometric code AGe(F,5P) [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(4115, 125, F4, 78) (dual of [125, 10, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4116, 126, F4, 79) (dual of [126, 10, 80]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4117, 127, F4, 79) (dual of [127, 10, 80]-code) | [i] | ||
| 4 | Linear OA(4114, 124, F4, 78) (dual of [124, 10, 79]-code) | [i] | Truncation | |
| 5 | Linear OA(4113, 123, F4, 77) (dual of [123, 10, 78]-code) | [i] | ||
| 6 | Linear OA(4112, 122, F4, 76) (dual of [122, 10, 77]-code) | [i] | ||