Information on Result #2221810
Linear OA(2104, 164, F2, 32) (dual of [164, 60, 33]-code), using 1 times truncation based on linear OA(2105, 165, F2, 33) (dual of [165, 60, 34]-code), using
- concatenation of two codes [i] 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(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), 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(2106, 166, F2, 32) (dual of [166, 60, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2107, 167, F2, 32) (dual of [167, 60, 33]-code) | [i] | ||
| 3 | Linear OOA(2104, 82, F2, 2, 32) (dual of [(82, 2), 60, 33]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2104, 54, F2, 3, 32) (dual of [(54, 3), 58, 33]-NRT-code) | [i] | ||