Information on Result #2175872
Linear OA(257, 128, F2, 18) (dual of [128, 71, 19]-code), using strength reduction based on linear OA(257, 128, F2, 19) (dual of [128, 71, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(255, 126, F2, 16) (dual of [126, 71, 17]-code) | [i] | Truncation | |
| 2 | Linear OOA(257, 64, F2, 2, 18) (dual of [(64, 2), 71, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(257, 32, F2, 4, 18) (dual of [(32, 4), 71, 19]-NRT-code) | [i] | ||