Information on Result #1029859
Linear OOA(2201, 108, F2, 3, 71) (dual of [(108, 3), 123, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(840, 27, F8, 3, 35) (dual of [(27, 3), 41, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(840, 28, F8, 3, 35) (dual of [(28, 3), 44, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,48P) [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(840, 28, F8, 3, 35) (dual of [(28, 3), 44, 36]-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(2201, 108, F2, 3, 70) (dual of [(108, 3), 123, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2202, 108, F2, 3, 71) (dual of [(108, 3), 122, 72]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2203, 108, F2, 3, 71) (dual of [(108, 3), 121, 72]-NRT-code) | [i] | ||
| 4 | Linear OOA(2200, 107, F2, 3, 70) (dual of [(107, 3), 121, 71]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2201, 54, F2, 5, 71) (dual of [(54, 5), 69, 72]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2201, 54, F2, 6, 71) (dual of [(54, 6), 123, 72]-NRT-code) | [i] | ||