Information on Result #630412
Linear OA(2229, 354, F2, 63) (dual of [354, 125, 64]-code), using concatenation of two codes based on
- linear OA(3234, 59, F32, 31) (dual of [59, 25, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3234, 63, F32, 31) (dual of [63, 29, 32]-code), using
- algebraic-geometric code AG(F,31P) [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(3234, 63, F32, 31) (dual of [63, 29, 32]-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(2228, 353, F2, 62) (dual of [353, 125, 63]-code) | [i] | Truncation | |
| 2 | Linear OOA(2229, 177, F2, 2, 63) (dual of [(177, 2), 125, 64]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2229, 118, F2, 3, 63) (dual of [(118, 3), 125, 64]-NRT-code) | [i] | ||