Information on Result #634625
Linear OA(4132, 152, F4, 77) (dual of [152, 20, 78]-code), using concatenation of two codes based on
- linear OA(1628, 38, F16, 25) (dual of [38, 10, 26]-code), using
- extended algebraic-geometric code AGe(F,12P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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 OA(4131, 151, F4, 76) (dual of [151, 20, 77]-code) | [i] | Truncation | |
| 2 | Linear OOA(4132, 76, F4, 2, 77) (dual of [(76, 2), 20, 78]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4132, 50, F4, 3, 77) (dual of [(50, 3), 18, 78]-NRT-code) | [i] | ||