Information on Result #610226
Linear OA(2246, 252, F2, 127) (dual of [252, 6, 128]-code), using repeating each code word 4 times based on linear OA(257, 63, F2, 31) (dual of [63, 6, 32]-code), using
- Simplex code S(6,2) [i]
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 32 [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(2245, 251, F2, 126) (dual of [251, 6, 127]-code) | [i] | Truncation | |
| 2 | Linear OOA(2246, 126, F2, 2, 127) (dual of [(126, 2), 6, 128]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2246, 84, F2, 3, 127) (dual of [(84, 3), 6, 128]-NRT-code) | [i] | ||