Information on Result #2225769
Linear OA(2150, 262176, F2, 16) (dual of [262176, 262026, 17]-code), using 1 times truncation based on linear OA(2151, 262177, F2, 17) (dual of [262177, 262026, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(2145, 262145, F2, 17) (dual of [262145, 262000, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2109, 262145, F2, 13) (dual of [262145, 262036, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
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 OOA(2150, 131088, F2, 2, 16) (dual of [(131088, 2), 262026, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2150, 87392, F2, 3, 16) (dual of [(87392, 3), 262026, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(2150, 65544, F2, 4, 16) (dual of [(65544, 4), 262026, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(2150, 52435, F2, 5, 16) (dual of [(52435, 5), 262025, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(2150, 43696, F2, 6, 16) (dual of [(43696, 6), 262026, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(2150, 37453, F2, 7, 16) (dual of [(37453, 7), 262021, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(2150, 32772, F2, 8, 16) (dual of [(32772, 8), 262026, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(2150, 32772, F2, 16, 16) (dual of [(32772, 16), 524202, 17]-NRT-code) | [i] | OA Folding and Stacking | |