Information on Result #1297451
Linear OA(2212, 269, F2, 70) (dual of [269, 57, 71]-code), using construction X with Varšamov bound based on
- linear OA(2207, 263, F2, 70) (dual of [263, 56, 71]-code), using
- 1 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
- 1 times truncation [i] based on linear OA(2208, 264, F2, 71) (dual of [264, 56, 72]-code), using
- linear OA(2207, 264, F2, 65) (dual of [264, 57, 66]-code), using Gilbert–Varšamov bound and bm = 2207 > Vbs−1(k−1) = 201 569979 693380 293636 105835 216803 862835 436525 255848 786371 644252 [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]
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, 271, F2, 70) (dual of [271, 57, 71]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2213, 270, F2, 71) (dual of [270, 57, 72]-code) | [i] | Adding a Parity Check Bit | |