Information on Result #630150
Linear OA(2160, 192, F2, 63) (dual of [192, 32, 64]-code), using concatenation of two codes based on
- linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
Mode: Constructive and 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(2160, 192, F2, 62) (dual of [192, 32, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2160, 192, F2, 61) (dual of [192, 32, 62]-code) | [i] | ||
| 3 | Linear OA(2160, 192, F2, 60) (dual of [192, 32, 61]-code) | [i] | ||
| 4 | Linear OA(2161, 193, F2, 63) (dual of [193, 32, 64]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2162, 194, F2, 63) (dual of [194, 32, 64]-code) | [i] | ||
| 6 | Linear OA(2163, 195, F2, 63) (dual of [195, 32, 64]-code) | [i] | ||
| 7 | Linear OA(2164, 196, F2, 63) (dual of [196, 32, 64]-code) | [i] | ||
| 8 | Linear OA(2165, 197, F2, 63) (dual of [197, 32, 64]-code) | [i] | ||
| 9 | Linear OA(2166, 198, F2, 63) (dual of [198, 32, 64]-code) | [i] | ||
| 10 | Linear OA(2167, 199, F2, 63) (dual of [199, 32, 64]-code) | [i] | ||
| 11 | Linear OA(2168, 200, F2, 63) (dual of [200, 32, 64]-code) | [i] | ||
| 12 | Linear OA(2169, 201, F2, 63) (dual of [201, 32, 64]-code) | [i] | ||
| 13 | Linear OA(2170, 202, F2, 63) (dual of [202, 32, 64]-code) | [i] | ||
| 14 | Linear OA(2171, 203, F2, 63) (dual of [203, 32, 64]-code) | [i] | ||
| 15 | Linear OA(2159, 191, F2, 62) (dual of [191, 32, 63]-code) | [i] | Truncation | |
| 16 | Linear OA(2158, 190, F2, 61) (dual of [190, 32, 62]-code) | [i] | ||
| 17 | Linear OA(2157, 189, F2, 60) (dual of [189, 32, 61]-code) | [i] | ||
| 18 | Linear OOA(2160, 96, F2, 2, 63) (dual of [(96, 2), 32, 64]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(2160, 64, F2, 3, 63) (dual of [(64, 3), 32, 64]-NRT-code) | [i] | ||