Information on Result #1297523
Linear OA(2222, 389, F2, 56) (dual of [389, 167, 57]-code), using construction X with Varšamov bound based on
- linear OA(2219, 384, F2, 57) (dual of [384, 165, 58]-code), using
- concatenation of two codes [i] based on
- linear OA(3231, 64, F32, 28) (dual of [64, 33, 29]-code), using
- extended algebraic-geometric code AGe(F,35P) [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(3231, 64, F32, 28) (dual of [64, 33, 29]-code), using
- concatenation of two codes [i] based on
- linear OA(2219, 386, F2, 54) (dual of [386, 167, 55]-code), using Gilbert–Varšamov bound and bm = 2219 > Vbs−1(k−1) = 696790 550920 601766 920121 146788 821479 639126 069553 838815 257690 194314 [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(2223, 390, F2, 57) (dual of [390, 167, 58]-code) | [i] | Adding a Parity Check Bit | |