Information on Result #911938
Linear OOA(2100, 60, F2, 2, 47) (dual of [(60, 2), 20, 48]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(167, 12, F16, 7) (dual of [12, 5, 8]-code or 12-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), 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(2100, 60, F2, 2, 46) (dual of [(60, 2), 20, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2101, 60, F2, 2, 47) (dual of [(60, 2), 19, 48]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(299, 59, F2, 2, 46) (dual of [(59, 2), 19, 47]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2100, 30, F2, 4, 47) (dual of [(30, 4), 20, 48]-NRT-code) | [i] | OOA Folding | |