Information on Result #1030176
Linear OOA(3171, 87, F3, 3, 77) (dual of [(87, 3), 90, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(942, 29, F9, 3, 38) (dual of [(29, 3), 45, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(942, 30, F9, 3, 38) (dual of [(30, 3), 48, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,51P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- discarding factors / shortening the dual code based on linear OOA(942, 30, F9, 3, 38) (dual of [(30, 3), 48, 39]-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(3171, 87, F3, 3, 76) (dual of [(87, 3), 90, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3171, 87, F3, 3, 75) (dual of [(87, 3), 90, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(3172, 87, F3, 3, 77) (dual of [(87, 3), 89, 78]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3170, 86, F3, 3, 76) (dual of [(86, 3), 88, 77]-NRT-code) | [i] | Truncation for OOAs | |