Information on Result #2227063
Linear OA(2252, 32815, F2, 32) (dual of [32815, 32563, 33]-code), using 1 times truncation based on linear OA(2253, 32816, F2, 33) (dual of [32816, 32563, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(26) [i] based on
- linear OA(2241, 32768, F2, 33) (dual of [32768, 32527, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2196, 32768, F2, 27) (dual of [32768, 32572, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-code), using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- extracting embedded orthogonal array [i] based on digital (7, 11, 47)-net over F2, using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), 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(2252, 16407, F2, 2, 32) (dual of [(16407, 2), 32562, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2252, 10938, F2, 3, 32) (dual of [(10938, 3), 32562, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(2252, 8203, F2, 4, 32) (dual of [(8203, 4), 32560, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(2252, 6563, F2, 5, 32) (dual of [(6563, 5), 32563, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(2252, 5469, F2, 6, 32) (dual of [(5469, 6), 32562, 33]-NRT-code) | [i] | ||