Information on Result #1297749
Linear OA(2252, 389, F2, 68) (dual of [389, 137, 69]-code), using construction X with Varšamov bound based on
- linear OA(2249, 384, F2, 69) (dual of [384, 135, 70]-code), using
- concatenation of two codes [i] based on
- linear OA(3237, 64, F32, 34) (dual of [64, 27, 35]-code), using
- extended algebraic-geometric code AGe(F,29P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, 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
- linear OA(3237, 64, F32, 34) (dual of [64, 27, 35]-code), using
- concatenation of two codes [i] based on
- linear OA(2249, 386, F2, 66) (dual of [386, 137, 67]-code), using Gilbert–Varšamov bound and bm = 2249 > Vbs−1(k−1) = 558 223626 414316 766425 636114 573073 325400 611390 728901 337341 762963 436571 291054 [i]
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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 (see above)
Mode: 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(2253, 390, F2, 69) (dual of [390, 137, 70]-code) | [i] | Adding a Parity Check Bit | |