Information on Result #634949
Linear OA(489, 105, F4, 51) (dual of [105, 16, 52]-code), using concatenation of two codes based on
- linear OA(1613, 21, F16, 12) (dual of [21, 8, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(1613, 24, F16, 12) (dual of [24, 11, 13]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1613, 24, F16, 12) (dual of [24, 11, 13]-code), 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(487, 103, F4, 49) (dual of [103, 16, 50]-code) | [i] | Truncation | |
| 2 | Linear OA(486, 102, F4, 48) (dual of [102, 16, 49]-code) | [i] | ||
| 3 | Linear OOA(489, 35, F4, 3, 51) (dual of [(35, 3), 16, 52]-NRT-code) | [i] | OOA Folding | |