Information on Result #635042
Linear OA(4170, 190, F4, 103) (dual of [190, 20, 104]-code), using concatenation of two codes based on
- linear OA(1628, 38, F16, 25) (dual of [38, 10, 26]-code), using
- extended algebraic-geometric code AGe(F,12P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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: 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.
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(4169, 189, F4, 102) (dual of [189, 20, 103]-code) | [i] | Truncation | |
| 2 | Linear OA(4168, 188, F4, 101) (dual of [188, 20, 102]-code) | [i] | ||
| 3 | Linear OA(4167, 187, F4, 100) (dual of [187, 20, 101]-code) | [i] | ||
| 4 | Linear OOA(4170, 95, F4, 2, 103) (dual of [(95, 2), 20, 104]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4170, 63, F4, 3, 103) (dual of [(63, 3), 19, 104]-NRT-code) | [i] | ||