Information on Result #634687
Linear OA(4156, 176, F4, 92) (dual of [176, 20, 93]-code), using concatenation of two codes based on
- linear OA(1634, 44, F16, 30) (dual of [44, 10, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(1634, 45, F16, 30) (dual of [45, 11, 31]-code), using
- extended algebraic-geometric code AGe(F,14P) [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(1634, 45, F16, 30) (dual of [45, 11, 31]-code), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(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 OOA(4156, 88, F4, 2, 92) (dual of [(88, 2), 20, 93]-NRT-code) | [i] | OOA Folding | |