Information on Result #1087855
Linear OOA(2152, 40, F2, 4, 111) (dual of [(40, 4), 8, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(166, 8, F16, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,16)), using
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- Reed–Solomon code RS(10,16) [i]
- discarding factors / shortening the dual code based on linear OA(166, 16, F16, 6) (dual of [16, 10, 7]-code or 16-arc in PG(5,16)), using
- linear OOA(216, 5, F2, 4, 15) (dual of [(5, 4), 4, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2152, 40, F2, 4, 110) (dual of [(40, 4), 8, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2152, 40, F2, 4, 109) (dual of [(40, 4), 8, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(2152, 40, F2, 4, 108) (dual of [(40, 4), 8, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(2144, 38, F2, 4, 103) (dual of [(38, 4), 8, 104]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2152, 20, F2, 8, 111) (dual of [(20, 8), 8, 112]-NRT-code) | [i] | OOA Folding | |