Information on Result #1087851
Linear OOA(2232, 60, F2, 4, 167) (dual of [(60, 4), 8, 168]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1613, 15, F16, 13) (dual of [15, 2, 14]-code or 15-arc in PG(12,16)), using
- discarding factors / shortening the dual code based on linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
- Reed–Solomon code RS(3,16) [i]
- discarding factors / shortening the dual code based on linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), 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(2232, 60, F2, 4, 166) (dual of [(60, 4), 8, 167]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2232, 60, F2, 4, 165) (dual of [(60, 4), 8, 166]-NRT-code) | [i] | ||
| 3 | Linear OOA(2232, 60, F2, 4, 164) (dual of [(60, 4), 8, 165]-NRT-code) | [i] | ||
| 4 | Linear OOA(2232, 60, F2, 4, 163) (dual of [(60, 4), 8, 164]-NRT-code) | [i] | ||
| 5 | Linear OOA(2232, 60, F2, 4, 162) (dual of [(60, 4), 8, 163]-NRT-code) | [i] | ||