Information on Result #1297447
Linear OA(2213, 272, F2, 68) (dual of [272, 59, 69]-code), using construction X with Varšamov bound based on
- linear OA(2206, 262, F2, 69) (dual of [262, 56, 70]-code), using
- 2 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
- 2 times truncation [i] based on linear OA(2208, 264, F2, 71) (dual of [264, 56, 72]-code), using
- linear OA(2206, 265, F2, 64) (dual of [265, 59, 65]-code), using Gilbert–Varšamov bound and bm = 2206 > Vbs−1(k−1) = 83 742856 194409 635453 885752 715998 559311 399783 371002 847065 284384 [i]
- linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
- Simplex code S(3,2) [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(2214, 273, F2, 69) (dual of [273, 59, 70]-code) | [i] | Adding a Parity Check Bit | |