Information on Result #630153
Linear OA(2148, 168, F2, 63) (dual of [168, 20, 64]-code), using concatenation of two codes based on
- linear OA(1616, 21, F16, 15) (dual of [21, 5, 16]-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-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(2148, 168, F2, 62) (dual of [168, 20, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(2148, 84, F2, 2, 63) (dual of [(84, 2), 20, 64]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2148, 56, F2, 3, 63) (dual of [(56, 3), 20, 64]-NRT-code) | [i] | ||