Information on Result #1087848
Linear OOA(2216, 56, F2, 4, 155) (dual of [(56, 4), 8, 156]-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(212, 4, F2, 4, 11) (dual of [(4, 4), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,8P) [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(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-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(2216, 56, F2, 4, 154) (dual of [(56, 4), 8, 155]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2216, 56, F2, 4, 153) (dual of [(56, 4), 8, 154]-NRT-code) | [i] | ||
| 3 | Linear OOA(2216, 56, F2, 4, 152) (dual of [(56, 4), 8, 153]-NRT-code) | [i] | ||