Information on Result #630544
Linear OA(2180, 378, F2, 43) (dual of [378, 198, 44]-code), using concatenation of two codes based on
- linear OA(6421, 54, F64, 21) (dual of [54, 33, 22]-code or 54-arc in PG(20,64)), using
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
- Reed–Solomon code RS(43,64) [i]
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), 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(2179, 377, F2, 42) (dual of [377, 198, 43]-code) | [i] | Truncation | |
| 2 | Linear OOA(2180, 189, F2, 2, 43) (dual of [(189, 2), 198, 44]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2180, 126, F2, 3, 43) (dual of [(126, 3), 198, 44]-NRT-code) | [i] | ||