Information on Result #630296
Linear OA(2116, 216, F2, 31) (dual of [216, 100, 32]-code), using concatenation of two codes based on
- linear OA(3216, 36, F32, 15) (dual of [36, 20, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3216, 43, F32, 15) (dual of [43, 27, 16]-code), using
- algebraic-geometric code AG(F,27P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3216, 43, F32, 15) (dual of [43, 27, 16]-code), using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 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(2115, 215, F2, 30) (dual of [215, 100, 31]-code) | [i] | Truncation | |
| 2 | Linear OOA(2116, 108, F2, 2, 31) (dual of [(108, 2), 100, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2116, 72, F2, 3, 31) (dual of [(72, 3), 100, 32]-NRT-code) | [i] | ||