Information on Result #630680
Linear OA(2260, 476, F2, 63) (dual of [476, 216, 64]-code), using concatenation of two codes based on
- linear OA(6432, 68, F64, 31) (dual of [68, 36, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(6432, 79, F64, 31) (dual of [79, 47, 32]-code), using
- algebraic-geometric code AG(F,47P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- discarding factors / shortening the dual code based on linear OA(6432, 79, F64, 31) (dual of [79, 47, 32]-code), using
- linear OA(21, 7, F2, 1) (dual of [7, 6, 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(2260, 476, F2, 62) (dual of [476, 216, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2259, 475, F2, 62) (dual of [475, 216, 63]-code) | [i] | Truncation | |
| 3 | Linear OOA(2260, 238, F2, 2, 63) (dual of [(238, 2), 216, 64]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2260, 158, F2, 3, 63) (dual of [(158, 3), 214, 64]-NRT-code) | [i] | ||