Information on Result #631698
Linear OA(3107, 152, F3, 45) (dual of [152, 45, 46]-code), using concatenation of two codes based on
- linear OA(2723, 38, F27, 22) (dual of [38, 15, 23]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3107, 152, F3, 44) (dual of [152, 45, 45]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3108, 153, F3, 45) (dual of [153, 45, 46]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3109, 154, F3, 45) (dual of [154, 45, 46]-code) | [i] | ||
| 4 | Linear OA(3110, 155, F3, 45) (dual of [155, 45, 46]-code) | [i] | ||
| 5 | Linear OA(3111, 156, F3, 45) (dual of [156, 45, 46]-code) | [i] | ||
| 6 | Linear OA(3106, 151, F3, 44) (dual of [151, 45, 45]-code) | [i] | Truncation | |
| 7 | Linear OA(3110, 158, F3, 45) (dual of [158, 48, 46]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OA(3111, 161, F3, 45) (dual of [161, 50, 46]-code) | [i] | ||
| 9 | Linear OA(3109, 155, F3, 45) (dual of [155, 46, 46]-code) | [i] | Construction X with Varšamov Bound | |
| 10 | Linear OA(3110, 157, F3, 45) (dual of [157, 47, 46]-code) | [i] | ||
| 11 | Linear OOA(3107, 76, F3, 2, 45) (dual of [(76, 2), 45, 46]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(3107, 50, F3, 3, 45) (dual of [(50, 3), 43, 46]-NRT-code) | [i] | ||