Information on Result #2239575
Linear OA(4191, 203, F4, 125) (dual of [203, 12, 126]-code), using 2 times truncation based on linear OA(4193, 205, F4, 127) (dual of [205, 12, 128]-code), using
- concatenation of two codes [i] based on
- linear OA(1635, 41, F16, 31) (dual of [41, 6, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(1635, 45, F16, 31) (dual of [45, 10, 32]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OA(1635, 45, F16, 31) (dual of [45, 10, 32]-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(1635, 41, F16, 31) (dual of [41, 6, 32]-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(4191, 101, F4, 2, 125) (dual of [(101, 2), 11, 126]-NRT-code) | [i] | OOA Folding | |