Information on Result #632061
Linear OA(3173, 272, F3, 61) (dual of [272, 99, 62]-code), using concatenation of two codes based on
- linear OA(2735, 68, F27, 30) (dual of [68, 33, 31]-code), using
- extended algebraic-geometric code AGe(F,37P) [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3173, 272, F3, 60) (dual of [272, 99, 61]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3174, 273, F3, 61) (dual of [273, 99, 62]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3172, 271, F3, 60) (dual of [271, 99, 61]-code) | [i] | Truncation | |
| 4 | Linear OOA(3173, 136, F3, 2, 61) (dual of [(136, 2), 99, 62]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3173, 90, F3, 3, 61) (dual of [(90, 3), 97, 62]-NRT-code) | [i] | ||