Information on Result #633947
Linear OA(492, 126, F4, 43) (dual of [126, 34, 44]-code), using concatenation of two codes based on
- linear OA(1625, 42, F16, 21) (dual of [42, 17, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1625, 45, F16, 21) (dual of [45, 20, 22]-code), using
- extended algebraic-geometric code AGe(F,23P) [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(1625, 45, F16, 21) (dual of [45, 20, 22]-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(491, 125, F4, 42) (dual of [125, 34, 43]-code) | [i] | Truncation | |
| 2 | Linear OOA(492, 63, F4, 2, 43) (dual of [(63, 2), 34, 44]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(492, 42, F4, 3, 43) (dual of [(42, 3), 34, 44]-NRT-code) | [i] | ||