Information on Result #912873
Linear OOA(3219, 120, F3, 2, 137) (dual of [(120, 2), 21, 138]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2723, 30, F27, 22) (dual of [30, 7, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2723, 38, F27, 22) (dual of [38, 15, 23]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2723, 38, F27, 22) (dual of [38, 15, 23]-code), using
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,3) [i]
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(3219, 120, F3, 2, 136) (dual of [(120, 2), 21, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3219, 120, F3, 2, 135) (dual of [(120, 2), 21, 136]-NRT-code) | [i] |