Information on Result #1087808
Linear OOA(2172, 45, F2, 4, 125) (dual of [(45, 4), 8, 126]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1613, 15, F16, 13) (dual of [15, 2, 14]-code or 15-arc in PG(12,16)), using
- discarding factors / shortening the dual code based on linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
- Reed–Solomon code RS(3,16) [i]
- discarding factors / shortening the dual code based on linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
- linear OOA(28, 3, F2, 4, 8) (dual of [(3, 4), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;4,2) [i]
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, 124) (dual of [(45, 4), 8, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2172, 45, F2, 4, 123) (dual of [(45, 4), 8, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(2172, 45, F2, 4, 122) (dual of [(45, 4), 8, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(2173, 45, F2, 4, 125) (dual of [(45, 4), 7, 126]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2168, 44, F2, 4, 121) (dual of [(44, 4), 8, 122]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2164, 43, F2, 4, 117) (dual of [(43, 4), 8, 118]-NRT-code) | [i] | ||