Information on Result #633963
Linear OA(490, 114, F4, 47) (dual of [114, 24, 48]-code), using concatenation of two codes 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
- 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(490, 114, F4, 46) (dual of [114, 24, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(491, 115, F4, 47) (dual of [115, 24, 48]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(489, 113, F4, 46) (dual of [113, 24, 47]-code) | [i] | Truncation | |
| 4 | Linear OOA(490, 57, F4, 2, 47) (dual of [(57, 2), 24, 48]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(490, 38, F4, 3, 47) (dual of [(38, 3), 24, 48]-NRT-code) | [i] | ||