Information on Result #911945
Linear OOA(298, 55, F2, 2, 53) (dual of [(55, 2), 12, 54]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(168, 11, F16, 8) (dual of [11, 3, 9]-code or 11-arc in PG(7,16)), using
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;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(298, 55, F2, 2, 52) (dual of [(55, 2), 12, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(298, 55, F2, 2, 51) (dual of [(55, 2), 12, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(299, 55, F2, 2, 53) (dual of [(55, 2), 11, 54]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(297, 54, F2, 2, 52) (dual of [(54, 2), 11, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(295, 53, F2, 2, 50) (dual of [(53, 2), 11, 51]-NRT-code) | [i] | ||
| 6 | Linear OOA(294, 53, F2, 2, 49) (dual of [(53, 2), 12, 50]-NRT-code) | [i] | ||
| 7 | Linear OOA(293, 52, F2, 2, 48) (dual of [(52, 2), 11, 49]-NRT-code) | [i] | ||
| 8 | Linear OOA(291, 51, F2, 2, 46) (dual of [(51, 2), 11, 47]-NRT-code) | [i] | ||
| 9 | Linear OOA(298, 27, F2, 4, 53) (dual of [(27, 4), 10, 54]-NRT-code) | [i] | OOA Folding | |