Information on Result #1288582
Linear OA(2168, 200, F2, 67) (dual of [200, 32, 68]-code), using concatenation of two codes based on
- linear OA(1617, 25, F16, 16) (dual of [25, 8, 17]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 25, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2168, 200, F2, 66) (dual of [200, 32, 67]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2168, 200, F2, 65) (dual of [200, 32, 66]-code) | [i] | ||
| 3 | Linear OA(2168, 200, F2, 64) (dual of [200, 32, 65]-code) | [i] | ||
| 4 | Linear OA(2169, 201, F2, 67) (dual of [201, 32, 68]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2170, 202, F2, 67) (dual of [202, 32, 68]-code) | [i] | ||
| 6 | Linear OA(2171, 203, F2, 67) (dual of [203, 32, 68]-code) | [i] | ||
| 7 | Linear OA(2172, 204, F2, 67) (dual of [204, 32, 68]-code) | [i] | ||
| 8 | Linear OA(2173, 205, F2, 67) (dual of [205, 32, 68]-code) | [i] | ||
| 9 | Linear OA(2167, 199, F2, 66) (dual of [199, 32, 67]-code) | [i] | Truncation | |
| 10 | Linear OA(2166, 198, F2, 65) (dual of [198, 32, 66]-code) | [i] | ||