Information on Result #627646
Linear OA(2124, 170, F2, 42) (dual of [170, 46, 43]-code), using residual code based on linear OA(2209, 256, F2, 85) (dual of [256, 47, 86]-code), using
- an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [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(2124, 170, F2, 41) (dual of [170, 46, 42]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2124, 170, F2, 40) (dual of [170, 46, 41]-code) | [i] | ||
| 3 | Linear OA(2126, 172, F2, 42) (dual of [172, 46, 43]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2127, 173, F2, 42) (dual of [173, 46, 43]-code) | [i] | ||
| 5 | Linear OA(2128, 174, F2, 42) (dual of [174, 46, 43]-code) | [i] | ||
| 6 | Linear OA(2129, 175, F2, 42) (dual of [175, 46, 43]-code) | [i] | ||
| 7 | Linear OA(2125, 171, F2, 43) (dual of [171, 46, 44]-code) | [i] | Adding a Parity Check Bit | |
| 8 | Linear OA(2129, 176, F2, 42) (dual of [176, 47, 43]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(2124, 85, F2, 2, 42) (dual of [(85, 2), 46, 43]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2124, 56, F2, 3, 42) (dual of [(56, 3), 44, 43]-NRT-code) | [i] | ||