Information on Result #630211
Linear OA(2232, 280, F2, 83) (dual of [280, 48, 84]-code), using concatenation of two codes based on
- linear OA(1623, 35, F16, 20) (dual of [35, 12, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1623, 38, F16, 20) (dual of [38, 15, 21]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(1623, 38, F16, 20) (dual of [38, 15, 21]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2232, 280, F2, 82) (dual of [280, 48, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2232, 280, F2, 81) (dual of [280, 48, 82]-code) | [i] | ||
| 3 | Linear OA(2232, 280, F2, 80) (dual of [280, 48, 81]-code) | [i] | ||