Information on Result #630172
Linear OA(2196, 248, F2, 67) (dual of [248, 52, 68]-code), using concatenation of two codes based on
- linear OA(1618, 31, F16, 16) (dual of [31, 13, 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(2196, 248, F2, 66) (dual of [248, 52, 67]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2196, 248, F2, 65) (dual of [248, 52, 66]-code) | [i] | ||
| 3 | Linear OA(2196, 248, F2, 64) (dual of [248, 52, 65]-code) | [i] | ||
| 4 | Linear OA(2197, 249, F2, 67) (dual of [249, 52, 68]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2198, 250, F2, 67) (dual of [250, 52, 68]-code) | [i] | ||
| 6 | Linear OA(2199, 251, F2, 67) (dual of [251, 52, 68]-code) | [i] | ||
| 7 | Linear OA(2195, 247, F2, 66) (dual of [247, 52, 67]-code) | [i] | Truncation | |
| 8 | Linear OA(2194, 246, F2, 65) (dual of [246, 52, 66]-code) | [i] | ||
| 9 | Linear OA(2193, 245, F2, 64) (dual of [245, 52, 65]-code) | [i] | ||
| 10 | Linear OOA(2196, 124, F2, 2, 67) (dual of [(124, 2), 52, 68]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2196, 82, F2, 3, 67) (dual of [(82, 3), 50, 68]-NRT-code) | [i] | ||