Information on Result #2202210
Linear OA(4138, 150, F4, 89) (dual of [150, 12, 90]-code), using strength reduction based on linear OA(4138, 150, F4, 91) (dual of [150, 12, 92]-code), using
- concatenation of two codes [i] based on
- linear OA(1624, 30, F16, 22) (dual of [30, 6, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(1624, 33, F16, 22) (dual of [33, 9, 23]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1624, 33, F16, 22) (dual of [33, 9, 23]-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]
- linear OA(1624, 30, F16, 22) (dual of [30, 6, 23]-code), using
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 OOA(4138, 50, F4, 3, 89) (dual of [(50, 3), 12, 90]-NRT-code) | [i] | OOA Folding | |