Information on Result #1028578
Linear OOA(2191, 69, F2, 3, 113) (dual of [(69, 3), 16, 114]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1619, 23, F16, 18) (dual of [23, 4, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1619, 24, F16, 18) (dual of [24, 5, 19]-code), using
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [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(2191, 69, F2, 3, 112) (dual of [(69, 3), 16, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2191, 69, F2, 3, 111) (dual of [(69, 3), 16, 112]-NRT-code) | [i] | ||
3 | Linear OOA(2191, 69, F2, 3, 110) (dual of [(69, 3), 16, 111]-NRT-code) | [i] |