Information on Result #1297733
Linear OA(2250, 386, F2, 68) (dual of [386, 136, 69]-code), using construction X with Varšamov bound based on
- linear OA(2248, 383, F2, 68) (dual of [383, 135, 69]-code), using
- 1 times truncation [i] 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
- 1 times truncation [i] based on linear OA(2249, 384, F2, 69) (dual of [384, 135, 70]-code), using
- linear OA(2248, 384, F2, 66) (dual of [384, 136, 67]-code), using Gilbert–Varšamov bound and bm = 2248 > Vbs−1(k−1) = 386 047113 265807 609917 905973 378168 519659 041175 879270 321719 921364 799535 170176 [i]
- linear OA(21, 2, F2, 1) (dual of [2, 1, 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(2251, 387, F2, 69) (dual of [387, 136, 70]-code) | [i] | Adding a Parity Check Bit | |