Information on Result #630205
Linear OA(2228, 280, F2, 79) (dual of [280, 52, 80]-code), using concatenation of two codes based on
- linear OA(1622, 35, F16, 19) (dual of [35, 13, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1622, 38, F16, 19) (dual of [38, 16, 20]-code), using
- extended algebraic-geometric code AGe(F,18P) [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(1622, 38, F16, 19) (dual of [38, 16, 20]-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(2228, 280, F2, 78) (dual of [280, 52, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2228, 280, F2, 77) (dual of [280, 52, 78]-code) | [i] | ||
| 3 | Linear OA(2228, 280, F2, 76) (dual of [280, 52, 77]-code) | [i] | ||
| 4 | Linear OA(2229, 281, F2, 79) (dual of [281, 52, 80]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(2230, 282, F2, 79) (dual of [282, 52, 80]-code) | [i] | ||
| 6 | Linear OA(2231, 283, F2, 79) (dual of [283, 52, 80]-code) | [i] | ||
| 7 | Linear OA(2227, 279, F2, 78) (dual of [279, 52, 79]-code) | [i] | Truncation | |
| 8 | Linear OA(2226, 278, F2, 77) (dual of [278, 52, 78]-code) | [i] | ||
| 9 | Linear OA(2225, 277, F2, 76) (dual of [277, 52, 77]-code) | [i] | ||
| 10 | Linear OOA(2228, 140, F2, 2, 79) (dual of [(140, 2), 52, 80]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2228, 93, F2, 3, 79) (dual of [(93, 3), 51, 80]-NRT-code) | [i] | ||