Information on Result #1297437
Linear OA(2209, 266, F2, 68) (dual of [266, 57, 69]-code), using construction X with Varšamov bound based on
- linear OA(2205, 261, F2, 68) (dual of [261, 56, 69]-code), using
- 3 times truncation [i] based on linear OA(2208, 264, F2, 71) (dual of [264, 56, 72]-code), using
- concatenation of two codes [i] based on
- linear OA(1619, 33, F16, 17) (dual of [33, 14, 18]-code), using
- extended algebraic-geometric code AGe(F,15P) [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(1619, 33, F16, 17) (dual of [33, 14, 18]-code), using
- concatenation of two codes [i] based on
- 3 times truncation [i] based on linear OA(2208, 264, F2, 71) (dual of [264, 56, 72]-code), using
- linear OA(2205, 262, F2, 64) (dual of [262, 57, 65]-code), using Gilbert–Varšamov bound and bm = 2205 > Vbs−1(k−1) = 37 073120 375411 409029 811760 704338 024568 558623 629621 601980 182688 [i]
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [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(2210, 267, F2, 69) (dual of [267, 57, 70]-code) | [i] | Adding a Parity Check Bit | |