Information on Result #1030079
Linear OOA(3123, 57, F3, 3, 63) (dual of [(57, 3), 48, 64]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(933, 19, F9, 3, 31) (dual of [(19, 3), 24, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(933, 20, F9, 3, 31) (dual of [(20, 3), 27, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,28P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(933, 20, F9, 3, 31) (dual of [(20, 3), 27, 32]-NRT-code), using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 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 OOA(3123, 57, F3, 3, 62) (dual of [(57, 3), 48, 63]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3123, 57, F3, 3, 61) (dual of [(57, 3), 48, 62]-NRT-code) | [i] | ||
| 3 | Linear OOA(3124, 57, F3, 3, 63) (dual of [(57, 3), 47, 64]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3122, 56, F3, 3, 62) (dual of [(56, 3), 46, 63]-NRT-code) | [i] | Truncation for OOAs | |