Information on Result #2227045
Linear OA(2240, 262175, F2, 26) (dual of [262175, 261935, 27]-code), using 1 times truncation based on linear OA(2241, 262176, F2, 27) (dual of [262176, 261935, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- linear OA(2235, 262144, F2, 27) (dual of [262144, 261909, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2199, 262144, F2, 23) (dual of [262144, 261945, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(2240, 131087, F2, 2, 26) (dual of [(131087, 2), 261934, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2240, 87391, F2, 3, 26) (dual of [(87391, 3), 261933, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2240, 65543, F2, 4, 26) (dual of [(65543, 4), 261932, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(2240, 52435, F2, 5, 26) (dual of [(52435, 5), 261935, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(2240, 43695, F2, 6, 26) (dual of [(43695, 6), 261930, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(2240, 37453, F2, 7, 26) (dual of [(37453, 7), 261931, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(2240, 32771, F2, 8, 26) (dual of [(32771, 8), 261928, 27]-NRT-code) | [i] | ||
| 8 | Linear OOA(2240, 20167, F2, 26, 26) (dual of [(20167, 26), 524102, 27]-NRT-code) | [i] | OA Folding and Stacking | |