Information on Result #911426
Linear OOA(258, 45, F2, 2, 23) (dual of [(45, 2), 32, 24]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(167, 15, F16, 7) (dual of [15, 8, 8]-code or 15-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(22, 3, F2, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;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(258, 45, F2, 2, 22) (dual of [(45, 2), 32, 23]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(259, 45, F2, 2, 23) (dual of [(45, 2), 31, 24]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(257, 44, F2, 2, 22) (dual of [(44, 2), 31, 23]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(256, 44, F2, 2, 21) (dual of [(44, 2), 32, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(258, 22, F2, 4, 23) (dual of [(22, 4), 30, 24]-NRT-code) | [i] | OOA Folding | |