Information on Result #630398
Linear OA(2227, 372, F2, 61) (dual of [372, 145, 62]-code), using concatenation of two codes based on
- linear OA(3233, 62, F32, 30) (dual of [62, 29, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3233, 63, F32, 30) (dual of [63, 30, 31]-code), using
- algebraic-geometric code AG(F,32P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(3233, 63, F32, 30) (dual of [63, 30, 31]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2226, 371, F2, 60) (dual of [371, 145, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(2227, 186, F2, 2, 61) (dual of [(186, 2), 145, 62]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2227, 124, F2, 3, 61) (dual of [(124, 3), 145, 62]-NRT-code) | [i] | ||