Information on Result #1087819
Linear OOA(2216, 60, F2, 4, 125) (dual of [(60, 4), 24, 126]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1614, 20, F16, 13) (dual of [20, 6, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1614, 24, F16, 13) (dual of [24, 10, 14]-code), using
- extended algebraic-geometric code AGe(F,10P) [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(1614, 24, F16, 13) (dual of [24, 10, 14]-code), using
- linear OOA(28, 3, F2, 4, 8) (dual of [(3, 4), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;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(2216, 60, F2, 4, 124) (dual of [(60, 4), 24, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2216, 60, F2, 4, 123) (dual of [(60, 4), 24, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(2216, 60, F2, 4, 122) (dual of [(60, 4), 24, 123]-NRT-code) | [i] | ||