Information on Result #610077
Linear OA(274, 77, F2, 43) (dual of [77, 3, 44]-code), using repeating each code word 11 times based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
- Simplex code S(3,2) [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(274, 77, F2, 42) (dual of [77, 3, 43]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(274, 77, F2, 41) (dual of [77, 3, 42]-code) | [i] | ||
| 3 | Linear OA(274, 77, F2, 40) (dual of [77, 3, 41]-code) | [i] | ||
| 4 | Linear OA(275, 78, F2, 43) (dual of [78, 3, 44]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(273, 76, F2, 42) (dual of [76, 3, 43]-code) | [i] | Truncation | |
| 6 | Linear OA(272, 75, F2, 41) (dual of [75, 3, 42]-code) | [i] | ||
| 7 | Linear OA(270, 73, F2, 39) (dual of [73, 3, 40]-code) | [i] | ||
| 8 | Linear OA(269, 72, F2, 38) (dual of [72, 3, 39]-code) | [i] | ||