Information on Result #630193
Linear OA(2200, 232, F2, 79) (dual of [232, 32, 80]-code), using concatenation of two codes based on
- linear OA(1621, 29, F16, 19) (dual of [29, 8, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1621, 33, F16, 19) (dual of [33, 12, 20]-code), using
- extended algebraic-geometric code AGe(F,13P) [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(1621, 33, F16, 19) (dual of [33, 12, 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.
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(2200, 232, F2, 78) (dual of [232, 32, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2200, 232, F2, 77) (dual of [232, 32, 78]-code) | [i] | ||
| 3 | Linear OA(2201, 233, F2, 79) (dual of [233, 32, 80]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2202, 234, F2, 79) (dual of [234, 32, 80]-code) | [i] | ||
| 5 | Linear OA(2199, 231, F2, 78) (dual of [231, 32, 79]-code) | [i] | Truncation | |
| 6 | Linear OA(2198, 230, F2, 77) (dual of [230, 32, 78]-code) | [i] | ||
| 7 | Linear OA(2197, 229, F2, 76) (dual of [229, 32, 77]-code) | [i] | ||
| 8 | Linear OOA(2200, 116, F2, 2, 79) (dual of [(116, 2), 32, 80]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2200, 77, F2, 3, 79) (dual of [(77, 3), 31, 80]-NRT-code) | [i] | ||