Information on Result #633964
Linear OA(489, 111, F4, 47) (dual of [111, 22, 48]-code), using concatenation of two codes based on
- linear OA(1626, 37, F16, 23) (dual of [37, 11, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(1626, 38, F16, 23) (dual of [38, 12, 24]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(1626, 38, F16, 23) (dual of [38, 12, 24]-code), using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(488, 110, F4, 46) (dual of [110, 22, 47]-code) | [i] | Truncation | |
| 2 | Linear OOA(489, 37, F4, 3, 47) (dual of [(37, 3), 22, 48]-NRT-code) | [i] | OOA Folding | |