Information on Result #2763747
Linear OOA(2191, 54, F2, 4, 110) (dual of [(54, 4), 25, 111]-NRT-code), using strength reduction based on linear OOA(2191, 54, F2, 4, 111) (dual of [(54, 4), 25, 112]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3213, 18, F32, 13) (dual of [18, 5, 14]-code or 18-arc in PG(12,32)), using
- discarding factors / shortening the dual code based on linear OA(3213, 32, F32, 13) (dual of [32, 19, 14]-code or 32-arc in PG(12,32)), using
- Reed–Solomon code RS(19,32) [i]
- discarding factors / shortening the dual code based on linear OA(3213, 32, F32, 13) (dual of [32, 19, 14]-code or 32-arc in PG(12,32)), using
- linear OOA(27, 3, F2, 4, 7) (dual of [(3, 4), 5, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;5,2) [i]
- linear OA(3213, 18, F32, 13) (dual of [18, 5, 14]-code or 18-arc in PG(12,32)), 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(2192, 54, F2, 4, 110) (dual of [(54, 4), 24, 111]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2193, 54, F2, 4, 110) (dual of [(54, 4), 23, 111]-NRT-code) | [i] | ||
| 3 | Linear OOA(2189, 53, F2, 4, 108) (dual of [(53, 4), 23, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2187, 53, F2, 4, 106) (dual of [(53, 4), 25, 107]-NRT-code) | [i] | ||
| 5 | Linear OOA(2191, 27, F2, 8, 110) (dual of [(27, 8), 25, 111]-NRT-code) | [i] | OOA Folding | |