Information on Result #633926
Linear OA(493, 135, F4, 41) (dual of [135, 42, 42]-code), using concatenation of two codes based on
- linear OA(1624, 45, F16, 20) (dual of [45, 21, 21]-code), using
- extended algebraic-geometric code AGe(F,24P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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(493, 135, F4, 40) (dual of [135, 42, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(494, 136, F4, 41) (dual of [136, 42, 42]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(492, 134, F4, 40) (dual of [134, 42, 41]-code) | [i] | Truncation | |
| 4 | Linear OOA(493, 67, F4, 2, 41) (dual of [(67, 2), 41, 42]-NRT-code) | [i] | OOA Folding | |