Information on Result #1087856
Linear OOA(2172, 45, F2, 4, 127) (dual of [(45, 4), 8, 128]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(167, 9, F16, 7) (dual of [9, 2, 8]-code or 9-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(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(2172, 45, F2, 4, 126) (dual of [(45, 4), 8, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2173, 45, F2, 4, 127) (dual of [(45, 4), 7, 128]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2169, 44, F2, 4, 124) (dual of [(44, 4), 7, 125]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2168, 44, F2, 4, 123) (dual of [(44, 4), 8, 124]-NRT-code) | [i] | ||
| 5 | Linear OOA(2165, 43, F2, 4, 120) (dual of [(43, 4), 7, 121]-NRT-code) | [i] | ||
| 6 | Linear OOA(2164, 43, F2, 4, 119) (dual of [(43, 4), 8, 120]-NRT-code) | [i] | ||
| 7 | Linear OOA(2156, 41, F2, 4, 111) (dual of [(41, 4), 8, 112]-NRT-code) | [i] | ||