Information on Result #912021
Linear OOA(2250, 135, F2, 2, 125) (dual of [(135, 2), 20, 126]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1622, 27, F16, 20) (dual of [27, 5, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1622, 33, F16, 20) (dual of [33, 11, 21]-code), using
- extended algebraic-geometric code AGe(F,12P) [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(1622, 33, F16, 20) (dual of [33, 11, 21]-code), using
- linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2250, 135, F2, 2, 124) (dual of [(135, 2), 20, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2250, 135, F2, 2, 123) (dual of [(135, 2), 20, 124]-NRT-code) | [i] | ||
3 | Linear OOA(2250, 135, F2, 2, 122) (dual of [(135, 2), 20, 123]-NRT-code) | [i] | ||
4 | Linear OOA(2250, 135, F2, 2, 121) (dual of [(135, 2), 20, 122]-NRT-code) | [i] | ||
5 | Linear OOA(2250, 135, F2, 2, 120) (dual of [(135, 2), 20, 121]-NRT-code) | [i] |