Information on Result #632347
Linear OA(3203, 272, F3, 81) (dual of [272, 69, 82]-code), using concatenation of two codes based on
- linear OA(2745, 68, F27, 40) (dual of [68, 23, 41]-code), using
- extended algebraic-geometric code AGe(F,27P) [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(3203, 272, F3, 80) (dual of [272, 69, 81]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3204, 273, F3, 81) (dual of [273, 69, 82]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3205, 274, F3, 81) (dual of [274, 69, 82]-code) | [i] | ||
| 4 | Linear OA(3206, 275, F3, 81) (dual of [275, 69, 82]-code) | [i] | ||
| 5 | Linear OA(3207, 276, F3, 81) (dual of [276, 69, 82]-code) | [i] | ||
| 6 | Linear OA(3202, 271, F3, 80) (dual of [271, 69, 81]-code) | [i] | Truncation | |
| 7 | Linear OOA(3203, 136, F3, 2, 81) (dual of [(136, 2), 69, 82]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3203, 90, F3, 3, 81) (dual of [(90, 3), 67, 82]-NRT-code) | [i] | ||