Information on Result #633349
Linear OA(3228, 500, F3, 63) (dual of [500, 272, 64]-code), using concatenation of two codes based on
- linear OA(8132, 100, F81, 31) (dual of [100, 68, 32]-code), using
- extended algebraic-geometric code AGe(F,68P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(31, 5, F3, 1) (dual of [5, 4, 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(3228, 500, F3, 62) (dual of [500, 272, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3229, 501, F3, 63) (dual of [501, 272, 64]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3230, 502, F3, 63) (dual of [502, 272, 64]-code) | [i] | ||
| 4 | Linear OA(3231, 503, F3, 63) (dual of [503, 272, 64]-code) | [i] | ||
| 5 | Linear OA(3232, 504, F3, 63) (dual of [504, 272, 64]-code) | [i] | ||
| 6 | Linear OA(3233, 505, F3, 63) (dual of [505, 272, 64]-code) | [i] | ||
| 7 | Linear OA(3227, 499, F3, 62) (dual of [499, 272, 63]-code) | [i] | Truncation | |
| 8 | Linear OOA(3228, 250, F3, 2, 63) (dual of [(250, 2), 272, 64]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(3228, 166, F3, 3, 63) (dual of [(166, 3), 270, 64]-NRT-code) | [i] | ||