Information on Result #631706
Linear OA(3117, 192, F3, 43) (dual of [192, 75, 44]-code), using concatenation of two codes based on
- linear OA(2723, 48, F27, 21) (dual of [48, 25, 22]-code), using
- extended algebraic-geometric code AGe(F,26P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, 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(3117, 192, F3, 42) (dual of [192, 75, 43]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3118, 193, F3, 43) (dual of [193, 75, 44]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3119, 194, F3, 43) (dual of [194, 75, 44]-code) | [i] | ||
| 4 | Linear OA(3120, 195, F3, 43) (dual of [195, 75, 44]-code) | [i] | ||
| 5 | Linear OA(3121, 196, F3, 43) (dual of [196, 75, 44]-code) | [i] | ||
| 6 | Linear OA(3116, 191, F3, 42) (dual of [191, 75, 43]-code) | [i] | Truncation | |
| 7 | Linear OOA(3117, 96, F3, 2, 43) (dual of [(96, 2), 75, 44]-NRT-code) | [i] | OOA Folding | |