Information on Result #633583
Linear OA(3250, 510, F3, 71) (dual of [510, 260, 72]-code), using concatenation of two codes based on
- linear OA(8137, 102, F81, 35) (dual of [102, 65, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, 115, F81, 35) (dual of [115, 78, 36]-code), using
- algebraic-geometric code AG(F,79P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- discarding factors / shortening the dual code based on linear OA(8137, 115, F81, 35) (dual of [115, 78, 36]-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(3250, 510, F3, 70) (dual of [510, 260, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3249, 509, F3, 70) (dual of [509, 260, 71]-code) | [i] | Truncation | |
| 3 | Linear OOA(3250, 255, F3, 2, 71) (dual of [(255, 2), 260, 72]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3250, 170, F3, 3, 71) (dual of [(170, 3), 260, 72]-NRT-code) | [i] | ||