Information on Result #634985
Linear OA(4114, 120, F4, 83) (dual of [120, 6, 84]-code), using concatenation of two codes based on
- linear OA(1621, 24, F16, 20) (dual of [24, 3, 21]-code), using
- extended algebraic-geometric code AGe(F,3P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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(4114, 120, F4, 82) (dual of [120, 6, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(4114, 40, F4, 3, 83) (dual of [(40, 3), 6, 84]-NRT-code) | [i] | OOA Folding | |