Information on Result #1297489
Linear OA(2218, 271, F2, 74) (dual of [271, 53, 75]-code), using construction X with Varšamov bound based on
- linear OA(2211, 263, F2, 74) (dual of [263, 52, 75]-code), using
- 1 times truncation [i] based on linear OA(2212, 264, F2, 75) (dual of [264, 52, 76]-code), using
- concatenation of two codes [i] based on
- linear OA(1620, 33, F16, 18) (dual of [33, 13, 19]-code), using
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(1620, 33, F16, 18) (dual of [33, 13, 19]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2212, 264, F2, 75) (dual of [264, 52, 76]-code), using
- linear OA(2211, 264, F2, 67) (dual of [264, 53, 68]-code), using Gilbert–Varšamov bound and bm = 2211 > Vbs−1(k−1) = 1887 512248 533641 285992 786408 845563 122929 207882 311505 295918 668652 [i]
- linear OA(26, 7, F2, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,2)), using
- dual of repetition code with length 7 [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(2220, 273, F2, 74) (dual of [273, 53, 75]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2221, 274, F2, 74) (dual of [274, 53, 75]-code) | [i] | ||
| 3 | Linear OA(2219, 272, F2, 75) (dual of [272, 53, 76]-code) | [i] | Adding a Parity Check Bit | |