Information on Result #630171
Linear OA(2200, 256, F2, 67) (dual of [256, 56, 68]-code), using concatenation of two codes based on
- linear OA(1618, 32, F16, 16) (dual of [32, 14, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), 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(2200, 256, F2, 66) (dual of [256, 56, 67]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2200, 256, F2, 65) (dual of [256, 56, 66]-code) | [i] | ||
| 3 | Linear OA(2200, 256, F2, 64) (dual of [256, 56, 65]-code) | [i] | ||
| 4 | Linear OA(2201, 257, F2, 67) (dual of [257, 56, 68]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2202, 258, F2, 67) (dual of [258, 56, 68]-code) | [i] | ||
| 6 | Linear OA(2203, 259, F2, 67) (dual of [259, 56, 68]-code) | [i] | ||
| 7 | Linear OA(2199, 255, F2, 66) (dual of [255, 56, 67]-code) | [i] | Truncation | |
| 8 | Linear OA(2198, 254, F2, 65) (dual of [254, 56, 66]-code) | [i] | ||
| 9 | Linear OA(2197, 253, F2, 64) (dual of [253, 56, 65]-code) | [i] | ||
| 10 | Linear OOA(2200, 128, F2, 2, 67) (dual of [(128, 2), 56, 68]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2200, 85, F2, 3, 67) (dual of [(85, 3), 55, 68]-NRT-code) | [i] | ||