Information on Result #1297723
Linear OA(2254, 311, F2, 86) (dual of [311, 57, 87]-code), using construction X with Varšamov bound based on
- linear OA(2247, 303, F2, 86) (dual of [303, 56, 87]-code), using
- 1 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
- 1 times truncation [i] based on linear OA(2248, 304, F2, 87) (dual of [304, 56, 88]-code), using
- linear OA(2247, 304, F2, 79) (dual of [304, 57, 80]-code), using Gilbert–Varšamov bound and bm = 2247 > Vbs−1(k−1) = 89 846547 427569 921106 419769 958725 746429 557090 514281 104688 026944 274059 013852 [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(2256, 313, F2, 86) (dual of [313, 57, 87]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2257, 314, F2, 86) (dual of [314, 57, 87]-code) | [i] | ||
| 3 | Linear OA(2255, 312, F2, 87) (dual of [312, 57, 88]-code) | [i] | Adding a Parity Check Bit | |