Information on Result #629991
Linear OA(2214, 290, F2, 67) (dual of [290, 76, 68]-code), using concatenation of two codes based on
- linear OA(1639, 58, F16, 33) (dual of [58, 19, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(1639, 64, F16, 33) (dual of [64, 25, 34]-code), using
- algebraic-geometric code AG(F,30P) [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,30P) [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(1639, 64, F16, 33) (dual of [64, 25, 34]-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(2213, 289, F2, 66) (dual of [289, 76, 67]-code) | [i] | Truncation | |
| 2 | Linear OOA(2214, 145, F2, 2, 67) (dual of [(145, 2), 76, 68]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2214, 96, F2, 3, 67) (dual of [(96, 3), 74, 68]-NRT-code) | [i] | ||