Information on Result #1030271
Linear OOA(3187, 87, F3, 3, 93) (dual of [(87, 3), 74, 94]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(950, 29, F9, 3, 46) (dual of [(29, 3), 37, 47]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(950, 30, F9, 3, 46) (dual of [(30, 3), 40, 47]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,43P) [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(950, 30, F9, 3, 46) (dual of [(30, 3), 40, 47]-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(3187, 87, F3, 3, 92) (dual of [(87, 3), 74, 93]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3187, 87, F3, 3, 91) (dual of [(87, 3), 74, 92]-NRT-code) | [i] | ||
3 | Linear OOA(3188, 87, F3, 3, 93) (dual of [(87, 3), 73, 94]-NRT-code) | [i] | OOA Duplication | |
4 | Linear OOA(3186, 86, F3, 3, 92) (dual of [(86, 3), 72, 93]-NRT-code) | [i] | Truncation for OOAs |