Information on Result #634550
Linear OA(498, 120, F4, 53) (dual of [120, 22, 54]-code), using concatenation of two codes based on
- linear OA(1619, 30, F16, 17) (dual of [30, 11, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-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 OA(498, 120, F4, 52) (dual of [120, 22, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(497, 119, F4, 52) (dual of [119, 22, 53]-code) | [i] | Truncation | |
| 3 | Linear OA(499, 122, F4, 53) (dual of [122, 23, 54]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OOA(498, 60, F4, 2, 53) (dual of [(60, 2), 22, 54]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(498, 40, F4, 3, 53) (dual of [(40, 3), 22, 54]-NRT-code) | [i] | ||