Information on Result #629680
Linear OA(2101, 165, F2, 31) (dual of [165, 64, 32]-code), using concatenation of two codes based on
- linear OA(1617, 33, F16, 15) (dual of [33, 16, 16]-code), using
- extended algebraic-geometric code AGe(F,17P) [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
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(2101, 165, F2, 30) (dual of [165, 64, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2102, 166, F2, 31) (dual of [166, 64, 32]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2100, 164, F2, 30) (dual of [164, 64, 31]-code) | [i] | Truncation | |
| 4 | Linear OOA(2101, 82, F2, 2, 31) (dual of [(82, 2), 63, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2101, 55, F2, 3, 31) (dual of [(55, 3), 64, 32]-NRT-code) | [i] | ||