Information on Result #914846
Linear OOA(2214, 215, F2, 2, 57) (dual of [(215, 2), 216, 58]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1632, 43, F16, 2, 28) (dual of [(43, 2), 54, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1632, 45, F16, 2, 28) (dual of [(45, 2), 58, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,61P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OOA(1632, 45, F16, 2, 28) (dual of [(45, 2), 58, 29]-NRT-code), using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 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(2214, 215, F2, 2, 56) (dual of [(215, 2), 216, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2215, 215, F2, 2, 57) (dual of [(215, 2), 215, 58]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2213, 214, F2, 2, 56) (dual of [(214, 2), 215, 57]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2214, 107, F2, 4, 57) (dual of [(107, 4), 214, 58]-NRT-code) | [i] | OOA Folding | |