Information on Result #2226856
Linear OA(2216, 16415, F2, 30) (dual of [16415, 16199, 31]-code), using 1 times truncation based on linear OA(2217, 16416, F2, 31) (dual of [16416, 16199, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- linear OA(2211, 16384, F2, 31) (dual of [16384, 16173, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- 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(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(2216, 8207, F2, 2, 30) (dual of [(8207, 2), 16198, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2216, 5471, F2, 3, 30) (dual of [(5471, 3), 16197, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(2216, 4103, F2, 4, 30) (dual of [(4103, 4), 16196, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(2216, 3283, F2, 5, 30) (dual of [(3283, 5), 16199, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(2216, 2735, F2, 6, 30) (dual of [(2735, 6), 16194, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(2216, 2345, F2, 7, 30) (dual of [(2345, 7), 16199, 31]-NRT-code) | [i] | ||
| 7 | Linear OOA(2216, 2051, F2, 8, 30) (dual of [(2051, 8), 16192, 31]-NRT-code) | [i] | ||
| 8 | Linear OOA(2216, 1094, F2, 30, 30) (dual of [(1094, 30), 32604, 31]-NRT-code) | [i] | OA Folding and Stacking | |