Information on Result #1029461
Linear OOA(2164, 72, F2, 3, 73) (dual of [(72, 3), 52, 74]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(446, 24, F4, 3, 36) (dual of [(24, 3), 26, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(446, 26, F4, 3, 36) (dual of [(26, 3), 32, 37]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,41P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- discarding factors / shortening the dual code based on linear OOA(446, 26, F4, 3, 36) (dual of [(26, 3), 32, 37]-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(2164, 72, F2, 3, 72) (dual of [(72, 3), 52, 73]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2164, 72, F2, 3, 71) (dual of [(72, 3), 52, 72]-NRT-code) | [i] | ||
| 3 | Linear OOA(2165, 72, F2, 3, 73) (dual of [(72, 3), 51, 74]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2163, 71, F2, 3, 72) (dual of [(71, 3), 50, 73]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2164, 36, F2, 6, 73) (dual of [(36, 6), 52, 74]-NRT-code) | [i] | OOA Folding | |