Information on Result #2187105
Linear OA(2235, 256, F2, 105) (dual of [256, 21, 106]-code), using strength reduction based on linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using
- an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [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(2234, 255, F2, 104) (dual of [255, 21, 105]-code) | [i] | Truncation | |
| 2 | Linear OA(2233, 254, F2, 103) (dual of [254, 21, 104]-code) | [i] | ||
| 3 | Linear OA(2232, 253, F2, 102) (dual of [253, 21, 103]-code) | [i] | ||
| 4 | Linear OA(2231, 252, F2, 101) (dual of [252, 21, 102]-code) | [i] | ||
| 5 | Linear OA(2230, 251, F2, 100) (dual of [251, 21, 101]-code) | [i] | ||
| 6 | Linear OA(2229, 250, F2, 99) (dual of [250, 21, 100]-code) | [i] | ||
| 7 | Linear OA(2228, 249, F2, 98) (dual of [249, 21, 99]-code) | [i] | ||
| 8 | Linear OA(2227, 248, F2, 97) (dual of [248, 21, 98]-code) | [i] | ||
| 9 | Linear OA(2226, 247, F2, 96) (dual of [247, 21, 97]-code) | [i] | ||