Information on Result #632379
Linear OA(3214, 304, F3, 81) (dual of [304, 90, 82]-code), using concatenation of two codes based on
- linear OA(2746, 76, F27, 40) (dual of [76, 30, 41]-code), using
- extended algebraic-geometric code AGe(F,35P) [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, 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(3214, 304, F3, 80) (dual of [304, 90, 81]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3215, 305, F3, 81) (dual of [305, 90, 82]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3216, 306, F3, 81) (dual of [306, 90, 82]-code) | [i] | ||
| 4 | Linear OA(3217, 307, F3, 81) (dual of [307, 90, 82]-code) | [i] | ||
| 5 | Linear OA(3218, 308, F3, 81) (dual of [308, 90, 82]-code) | [i] | ||
| 6 | Linear OA(3213, 303, F3, 80) (dual of [303, 90, 81]-code) | [i] | Truncation | |
| 7 | Linear OOA(3214, 152, F3, 2, 81) (dual of [(152, 2), 90, 82]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3214, 101, F3, 3, 81) (dual of [(101, 3), 89, 82]-NRT-code) | [i] | ||