Information on Result #630508
Linear OA(2140, 308, F2, 33) (dual of [308, 168, 34]-code), using concatenation of two codes based on
- linear OA(6416, 44, F64, 16) (dual of [44, 28, 17]-code or 44-arc in PG(15,64)), using
- discarding factors / shortening the dual code based on linear OA(6416, 64, F64, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), using
- Reed–Solomon code RS(48,64) [i]
- discarding factors / shortening the dual code based on linear OA(6416, 64, F64, 16) (dual of [64, 48, 17]-code or 64-arc in PG(15,64)), using
- linear OA(21, 7, F2, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(2139, 307, F2, 32) (dual of [307, 168, 33]-code) | [i] | Truncation | |
| 2 | Linear OOA(2140, 154, F2, 2, 33) (dual of [(154, 2), 168, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2140, 102, F2, 3, 33) (dual of [(102, 3), 166, 34]-NRT-code) | [i] | ||