Information on Result #1029904
Linear OOA(2210, 108, F2, 3, 77) (dual of [(108, 3), 114, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(843, 27, F8, 3, 38) (dual of [(27, 3), 38, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(843, 28, F8, 3, 38) (dual of [(28, 3), 41, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,45P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(843, 28, F8, 3, 38) (dual of [(28, 3), 41, 39]-NRT-code), using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 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(2210, 108, F2, 3, 76) (dual of [(108, 3), 114, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2211, 108, F2, 3, 77) (dual of [(108, 3), 113, 78]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2212, 108, F2, 3, 77) (dual of [(108, 3), 112, 78]-NRT-code) | [i] | ||
| 4 | Linear OOA(2209, 107, F2, 3, 76) (dual of [(107, 3), 112, 77]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2210, 54, F2, 5, 77) (dual of [(54, 5), 60, 78]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2210, 54, F2, 6, 77) (dual of [(54, 6), 114, 78]-NRT-code) | [i] | ||