Information on Result #1030164
Linear OOA(3172, 90, F3, 3, 75) (dual of [(90, 3), 98, 76]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(941, 30, F9, 3, 37) (dual of [(30, 3), 49, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,52P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, 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(3172, 90, F3, 3, 74) (dual of [(90, 3), 98, 75]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3175, 91, F3, 3, 75) (dual of [(91, 3), 98, 76]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3173, 90, F3, 3, 75) (dual of [(90, 3), 97, 76]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3171, 89, F3, 3, 74) (dual of [(89, 3), 96, 75]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3172, 45, F3, 5, 75) (dual of [(45, 5), 53, 76]-NRT-code) | [i] | OOA Folding | |