Information on Result #633567
Linear OA(3247, 495, F3, 73) (dual of [495, 248, 74]-code), using concatenation of two codes based on
- linear OA(8137, 99, F81, 36) (dual of [99, 62, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, 100, F81, 36) (dual of [100, 63, 37]-code), using
- extended algebraic-geometric code AGe(F,63P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- discarding factors / shortening the dual code based on linear OA(8137, 100, F81, 36) (dual of [100, 63, 37]-code), 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(3246, 494, F3, 72) (dual of [494, 248, 73]-code) | [i] | Truncation | |
| 2 | Linear OOA(3247, 247, F3, 2, 73) (dual of [(247, 2), 247, 74]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3247, 165, F3, 3, 73) (dual of [(165, 3), 248, 74]-NRT-code) | [i] | ||