Information on Result #2672607
Linear OOA(2156, 64, F2, 3, 76) (dual of [(64, 3), 36, 77]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2153, 63, F2, 3, 76) (dual of [(63, 3), 36, 77]-NRT-code), using
- strength reduction [i] based on linear OOA(2153, 63, F2, 3, 77) (dual of [(63, 3), 36, 78]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(445, 21, F4, 3, 38) (dual of [(21, 3), 18, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,24P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, 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
- linear OOA(445, 21, F4, 3, 38) (dual of [(21, 3), 18, 39]-NRT-code), using
- concatenation of two NRT-codes [i] based on
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(2157, 64, F2, 3, 76) (dual of [(64, 3), 35, 77]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2158, 64, F2, 3, 76) (dual of [(64, 3), 34, 77]-NRT-code) | [i] | ||
| 3 | Linear OOA(2156, 32, F2, 6, 76) (dual of [(32, 6), 36, 77]-NRT-code) | [i] | OOA Folding | |