Information on Result #1297769
Linear OA(2259, 312, F2, 90) (dual of [312, 53, 91]-code), using construction X with Varšamov bound based on
- linear OA(2251, 303, F2, 90) (dual of [303, 52, 91]-code), using
- 1 times truncation [i] based on linear OA(2252, 304, F2, 91) (dual of [304, 52, 92]-code), using
- concatenation of two codes [i] based on
- linear OA(1625, 38, F16, 22) (dual of [38, 13, 23]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1625, 38, F16, 22) (dual of [38, 13, 23]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2252, 304, F2, 91) (dual of [304, 52, 92]-code), using
- linear OA(2251, 304, F2, 82) (dual of [304, 53, 83]-code), using Gilbert–Varšamov bound and bm = 2251 > Vbs−1(k−1) = 2027 329024 611868 675433 633751 595199 171434 697897 910103 090174 111501 647966 669952 [i]
- linear OA(27, 8, F2, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,2)), using
- dual of repetition code with length 8 [i]
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(2260, 313, F2, 91) (dual of [313, 53, 92]-code) | [i] | Adding a Parity Check Bit | |