Information on Result #1028623
Linear OOA(2237, 87, F2, 3, 131) (dual of [(87, 3), 24, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1623, 29, F16, 21) (dual of [29, 6, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1623, 33, F16, 21) (dual of [33, 10, 22]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1623, 33, F16, 21) (dual of [33, 10, 22]-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(2237, 87, F2, 3, 130) (dual of [(87, 3), 24, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2237, 87, F2, 3, 129) (dual of [(87, 3), 24, 130]-NRT-code) | [i] | ||
3 | Linear OOA(2237, 87, F2, 3, 128) (dual of [(87, 3), 24, 129]-NRT-code) | [i] | ||
4 | Linear OOA(2237, 87, F2, 3, 127) (dual of [(87, 3), 24, 128]-NRT-code) | [i] |