Information on Result #1087858
Linear OOA(2244, 65, F2, 4, 159) (dual of [(65, 4), 16, 160]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(169, 13, F16, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,16)), using
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), 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(2244, 65, F2, 4, 158) (dual of [(65, 4), 16, 159]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2244, 65, F2, 4, 157) (dual of [(65, 4), 16, 158]-NRT-code) | [i] | ||
| 3 | Linear OOA(2244, 65, F2, 4, 156) (dual of [(65, 4), 16, 157]-NRT-code) | [i] | ||
| 4 | Linear OOA(2244, 65, F2, 4, 155) (dual of [(65, 4), 16, 156]-NRT-code) | [i] | ||
| 5 | Linear OOA(2244, 65, F2, 4, 154) (dual of [(65, 4), 16, 155]-NRT-code) | [i] | ||
| 6 | Linear OOA(2244, 65, F2, 4, 153) (dual of [(65, 4), 16, 154]-NRT-code) | [i] | ||
| 7 | Linear OOA(2243, 64, F2, 4, 158) (dual of [(64, 4), 13, 159]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2242, 64, F2, 4, 157) (dual of [(64, 4), 14, 158]-NRT-code) | [i] | ||
| 9 | Linear OOA(2241, 64, F2, 4, 156) (dual of [(64, 4), 15, 157]-NRT-code) | [i] | ||
| 10 | Linear OOA(2239, 63, F2, 4, 154) (dual of [(63, 4), 13, 155]-NRT-code) | [i] | ||
| 11 | Linear OOA(2238, 63, F2, 4, 153) (dual of [(63, 4), 14, 154]-NRT-code) | [i] | ||
| 12 | Linear OOA(2237, 63, F2, 4, 152) (dual of [(63, 4), 15, 153]-NRT-code) | [i] | ||
| 13 | Linear OOA(2234, 62, F2, 4, 149) (dual of [(62, 4), 14, 150]-NRT-code) | [i] | ||
| 14 | Linear OOA(2233, 62, F2, 4, 148) (dual of [(62, 4), 15, 149]-NRT-code) | [i] | ||
| 15 | Linear OOA(2232, 62, F2, 4, 147) (dual of [(62, 4), 16, 148]-NRT-code) | [i] | ||
| 16 | Linear OOA(2229, 61, F2, 4, 144) (dual of [(61, 4), 15, 145]-NRT-code) | [i] | ||
| 17 | Linear OOA(2228, 61, F2, 4, 143) (dual of [(61, 4), 16, 144]-NRT-code) | [i] | ||