Information on Result #629923
Linear OA(2197, 305, F2, 57) (dual of [305, 108, 58]-code), using concatenation of two codes based on
- linear OA(1634, 61, F16, 28) (dual of [61, 27, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(1634, 64, F16, 28) (dual of [64, 30, 29]-code), using
- algebraic-geometric code AG(F,35P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,35P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- discarding factors / shortening the dual code based on linear OA(1634, 64, F16, 28) (dual of [64, 30, 29]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2196, 304, F2, 56) (dual of [304, 108, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(2197, 152, F2, 2, 57) (dual of [(152, 2), 107, 58]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2197, 101, F2, 3, 57) (dual of [(101, 3), 106, 58]-NRT-code) | [i] | ||
| 4 | Linear OOA(2197, 61, F2, 5, 57) (dual of [(61, 5), 108, 58]-NRT-code) | [i] | ||