Information on Result #1028639
Linear OOA(2160, 56, F2, 3, 103) (dual of [(56, 3), 8, 104]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1612, 14, F16, 12) (dual of [14, 2, 13]-code or 14-arc in PG(11,16)), using
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- Reed–Solomon code RS(4,16) [i]
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- linear OOA(28, 4, F2, 3, 7) (dual of [(4, 3), 4, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(28, 5, F2, 3, 7) (dual of [(5, 3), 7, 8]-NRT-code), 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(2160, 56, F2, 3, 102) (dual of [(56, 3), 8, 103]-NRT-code) | [i] | Strength Reduction for OOAs | |