Information on Result #2175299
Linear OA(218, 19, F2, 17) (dual of [19, 1, 18]-code), using strength reduction based on linear OA(218, 19, F2, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,2)), using
- dual of repetition code with length 19 [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(2138, 131091, F2, 17) (dual of [131091, 130953, 18]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 2 | Linear OA(2121, 131091, F2, 15) (dual of [131091, 130970, 16]-code) | [i] | ||
| 3 | Linear OA(2104, 131091, F2, 13) (dual of [131091, 130987, 14]-code) | [i] | ||
| 4 | Linear OA(287, 131091, F2, 11) (dual of [131091, 131004, 12]-code) | [i] | ||
| 5 | Linear OA(270, 131091, F2, 9) (dual of [131091, 131021, 10]-code) | [i] | ||
| 6 | Linear OA(253, 131091, F2, 7) (dual of [131091, 131038, 8]-code) | [i] | ||
| 7 | Linear OA(236, 131091, F2, 5) (dual of [131091, 131055, 6]-code) | [i] | ||
| 8 | OA(254, 262163, S2, 7) | [i] | Construction X4 with Kerdock OAs | |
| 9 | OA(237, 262163, S2, 5) | [i] | ||