Information on Result #630219
Linear OA(2224, 248, F2, 95) (dual of [248, 24, 96]-code), using concatenation of two codes based on
- linear OA(1625, 31, F16, 23) (dual of [31, 6, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(1625, 33, F16, 23) (dual of [33, 8, 24]-code), using
- extended algebraic-geometric code AGe(F,9P) [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(1625, 33, F16, 23) (dual of [33, 8, 24]-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(2224, 248, F2, 94) (dual of [248, 24, 95]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2224, 248, F2, 93) (dual of [248, 24, 94]-code) | [i] | ||
| 3 | Linear OA(2225, 249, F2, 95) (dual of [249, 24, 96]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2226, 250, F2, 95) (dual of [250, 24, 96]-code) | [i] | ||
| 5 | Linear OA(2223, 247, F2, 94) (dual of [247, 24, 95]-code) | [i] | Truncation | |
| 6 | Linear OA(2222, 246, F2, 93) (dual of [246, 24, 94]-code) | [i] | ||
| 7 | Linear OA(2221, 245, F2, 92) (dual of [245, 24, 93]-code) | [i] | ||
| 8 | Linear OOA(2224, 124, F2, 2, 95) (dual of [(124, 2), 24, 96]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2224, 82, F2, 3, 95) (dual of [(82, 3), 22, 96]-NRT-code) | [i] | ||