Information on Result #630199
Linear OA(2204, 232, F2, 83) (dual of [232, 28, 84]-code), using concatenation of two codes based on
- linear OA(1622, 29, F16, 20) (dual of [29, 7, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1622, 33, F16, 20) (dual of [33, 11, 21]-code), using
- extended algebraic-geometric code AGe(F,12P) [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(1622, 33, F16, 20) (dual of [33, 11, 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.
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(2204, 232, F2, 82) (dual of [232, 28, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2204, 232, F2, 81) (dual of [232, 28, 82]-code) | [i] | ||
| 3 | Linear OA(2205, 233, F2, 83) (dual of [233, 28, 84]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2206, 234, F2, 83) (dual of [234, 28, 84]-code) | [i] | ||
| 5 | Linear OA(2203, 231, F2, 82) (dual of [231, 28, 83]-code) | [i] | Truncation | |
| 6 | Linear OA(2202, 230, F2, 81) (dual of [230, 28, 82]-code) | [i] | ||
| 7 | Linear OA(2201, 229, F2, 80) (dual of [229, 28, 81]-code) | [i] | ||
| 8 | Linear OOA(2204, 116, F2, 2, 83) (dual of [(116, 2), 28, 84]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2204, 77, F2, 3, 83) (dual of [(77, 3), 27, 84]-NRT-code) | [i] | ||