Information on Result #633843
Linear OA(469, 99, F4, 33) (dual of [99, 30, 34]-code), using concatenation of two codes based on
- linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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(469, 99, F4, 32) (dual of [99, 30, 33]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(470, 100, F4, 33) (dual of [100, 30, 34]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(471, 101, F4, 33) (dual of [101, 30, 34]-code) | [i] | ||
| 4 | Linear OA(472, 102, F4, 33) (dual of [102, 30, 34]-code) | [i] | ||
| 5 | Linear OA(468, 98, F4, 32) (dual of [98, 30, 33]-code) | [i] | Truncation | |
| 6 | Linear OOA(469, 49, F4, 2, 33) (dual of [(49, 2), 29, 34]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(469, 33, F4, 3, 33) (dual of [(33, 3), 30, 34]-NRT-code) | [i] | ||