Information on Result #2175323
Linear OA(222, 23, F2, 21) (dual of [23, 1, 22]-code), using strength reduction based on linear OA(222, 23, F2, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,2)), using
- dual of repetition code with length 23 [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2212, 2097175, F2, 21) (dual of [2097175, 2096963, 22]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 2 | Linear OA(2191, 2097175, F2, 19) (dual of [2097175, 2096984, 20]-code) | [i] | ||
| 3 | Linear OA(2170, 2097175, F2, 17) (dual of [2097175, 2097005, 18]-code) | [i] | ||
| 4 | Linear OA(2149, 2097175, F2, 15) (dual of [2097175, 2097026, 16]-code) | [i] | ||
| 5 | Linear OA(2128, 2097175, F2, 13) (dual of [2097175, 2097047, 14]-code) | [i] | ||
| 6 | Linear OA(2107, 2097175, F2, 11) (dual of [2097175, 2097068, 12]-code) | [i] | ||
| 7 | Linear OA(286, 2097175, F2, 9) (dual of [2097175, 2097089, 10]-code) | [i] | ||
| 8 | Linear OA(265, 2097175, F2, 7) (dual of [2097175, 2097110, 8]-code) | [i] | ||
| 9 | Linear OA(244, 2097175, F2, 5) (dual of [2097175, 2097131, 6]-code) | [i] | ||
| 10 | OA(266, 4194327, S2, 7) | [i] | Construction X4 with Kerdock OAs | |
| 11 | OA(245, 4194327, S2, 5) | [i] | ||