Information on Result #2618538
Linear OOA(2238, 90, F2, 3, 123) (dual of [(90, 3), 32, 124]-NRT-code), using strength reduction based on linear OOA(2238, 90, F2, 3, 125) (dual of [(90, 3), 32, 126]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1622, 30, F16, 20) (dual of [30, 8, 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(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [i]
- linear OA(1622, 30, F16, 20) (dual of [30, 8, 21]-code), 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(2237, 89, F2, 3, 122) (dual of [(89, 3), 30, 123]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2238, 45, F2, 6, 123) (dual of [(45, 6), 32, 124]-NRT-code) | [i] | OOA Folding | |