Information on Result #2226562
Linear OA(2188, 16415, F2, 26) (dual of [16415, 16227, 27]-code), using 1 times truncation based on linear OA(2189, 16416, F2, 27) (dual of [16416, 16227, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2155, 16384, F2, 23) (dual of [16384, 16229, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, 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(2188, 8207, F2, 2, 26) (dual of [(8207, 2), 16226, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2188, 5471, F2, 3, 26) (dual of [(5471, 3), 16225, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2188, 4103, F2, 4, 26) (dual of [(4103, 4), 16224, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(2188, 3283, F2, 5, 26) (dual of [(3283, 5), 16227, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(2188, 2735, F2, 6, 26) (dual of [(2735, 6), 16222, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(2188, 2345, F2, 7, 26) (dual of [(2345, 7), 16227, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(2188, 2051, F2, 8, 26) (dual of [(2051, 8), 16220, 27]-NRT-code) | [i] | ||
| 8 | Linear OOA(2188, 1262, F2, 26, 26) (dual of [(1262, 26), 32624, 27]-NRT-code) | [i] | OA Folding and Stacking | |