Information on Result #2295911
Linear OA(2251, 308, F2, 85) (dual of [308, 57, 86]-code), using adding a parity check bit based on linear OA(2250, 307, F2, 84) (dual of [307, 57, 85]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(2245, 301, F2, 84) (dual of [301, 56, 85]-code), using
- 3 times truncation [i] based on linear OA(2248, 304, F2, 87) (dual of [304, 56, 88]-code), using
- concatenation of two codes [i] based on
- linear OA(1624, 38, F16, 21) (dual of [38, 14, 22]-code), using
- extended algebraic-geometric code AGe(F,16P) [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(1624, 38, F16, 21) (dual of [38, 14, 22]-code), using
- concatenation of two codes [i] based on
- 3 times truncation [i] based on linear OA(2248, 304, F2, 87) (dual of [304, 56, 88]-code), using
- linear OA(2245, 302, F2, 79) (dual of [302, 57, 80]-code), using Gilbert–Varšamov bound and bm = 2245 > Vbs−1(k−1) = 49 713267 593930 875213 145699 422637 893794 660475 009968 297311 835586 056971 769088 [i]
- linear OA(24, 5, F2, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,2)), using
- dual of repetition code with length 5 [i]
- linear OA(2245, 301, F2, 84) (dual of [301, 56, 85]-code), using
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, 308, F2, 84) (dual of [308, 57, 85]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2252, 309, F2, 85) (dual of [309, 57, 86]-code) | [i] | Code Embedding in Larger Space | |