Information on Result #2227023
Linear OA(2241, 32783, F2, 32) (dual of [32783, 32542, 33]-code), using 1 times truncation based on linear OA(2242, 32784, F2, 33) (dual of [32784, 32542, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [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(2226, 32768, F2, 31) (dual of [32768, 32542, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(2243, 32785, F2, 32) (dual of [32785, 32542, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2244, 32786, F2, 32) (dual of [32786, 32542, 33]-code) | [i] | ||
| 3 | Linear OA(2245, 32787, F2, 32) (dual of [32787, 32542, 33]-code) | [i] | ||
| 4 | Linear OOA(2241, 16391, F2, 2, 32) (dual of [(16391, 2), 32541, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2241, 10927, F2, 3, 32) (dual of [(10927, 3), 32540, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(2241, 8195, F2, 4, 32) (dual of [(8195, 4), 32539, 33]-NRT-code) | [i] | ||
| 7 | Linear OOA(2241, 6556, F2, 5, 32) (dual of [(6556, 5), 32539, 33]-NRT-code) | [i] | ||
| 8 | Linear OOA(2241, 5463, F2, 6, 32) (dual of [(5463, 6), 32537, 33]-NRT-code) | [i] | ||
| 9 | Linear OOA(2241, 4683, F2, 7, 32) (dual of [(4683, 7), 32540, 33]-NRT-code) | [i] | ||
| 10 | Linear OOA(2241, 4097, F2, 8, 32) (dual of [(4097, 8), 32535, 33]-NRT-code) | [i] | ||