Information on Result #1029048
Linear OOA(2147, 55, F2, 3, 80) (dual of [(55, 3), 18, 81]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(648, 11, F64, 8) (dual of [11, 3, 9]-code or 11-arc in PG(7,64)), using
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- Reed–Solomon code RS(56,64) [i]
- discarding factors / shortening the dual code based on linear OA(648, 64, F64, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
- linear OOA(29, 5, F2, 3, 8) (dual of [(5, 3), 6, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [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(2147, 55, F2, 3, 79) (dual of [(55, 3), 18, 80]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2147, 55, F2, 3, 78) (dual of [(55, 3), 18, 79]-NRT-code) | [i] | ||