Information on Result #2220821
Linear OA(297, 126, F2, 41) (dual of [126, 29, 42]-code), using 2 times truncation based on linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(2100, 129, F2, 41) (dual of [129, 29, 42]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2101, 130, F2, 41) (dual of [130, 29, 42]-code) | [i] | ||
| 3 | Linear OA(2102, 131, F2, 41) (dual of [131, 29, 42]-code) | [i] | ||
| 4 | Linear OA(2117, 147, F2, 41) (dual of [147, 30, 42]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(296, 115, F2, 41) (dual of [115, 19, 42]-code) | [i] | Construction Y1 | |
| 6 | Linear OOA(297, 63, F2, 2, 41) (dual of [(63, 2), 29, 42]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(297, 42, F2, 3, 41) (dual of [(42, 3), 29, 42]-NRT-code) | [i] | ||
| 8 | Linear OOA(297, 25, F2, 5, 41) (dual of [(25, 5), 28, 42]-NRT-code) | [i] | ||