Information on Result #672485
Linear OA(2136, 131071, F2, 16) (dual of [131071, 130935, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2155, 131091, F2, 18) (dual of [131091, 130936, 19]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 2 | Linear OOA(2136, 43690, F2, 3, 16) (dual of [(43690, 3), 130934, 17]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2136, 26214, F2, 5, 16) (dual of [(26214, 5), 130934, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(2136, 21845, F2, 6, 16) (dual of [(21845, 6), 130934, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(2136, 18724, F2, 7, 16) (dual of [(18724, 7), 130932, 17]-NRT-code) | [i] | ||