Information on Result #1029303
Linear OOA(2116, 54, F2, 3, 49) (dual of [(54, 3), 46, 50]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(431, 18, F4, 3, 24) (dual of [(18, 3), 23, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(431, 21, F4, 3, 24) (dual of [(21, 3), 32, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,38P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- discarding factors / shortening the dual code based on linear OOA(431, 21, F4, 3, 24) (dual of [(21, 3), 32, 25]-NRT-code), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2115, 53, F2, 3, 48) (dual of [(53, 3), 44, 49]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2116, 27, F2, 6, 49) (dual of [(27, 6), 46, 50]-NRT-code) | [i] | OOA Folding | |