Information on Result #2262623
Linear OA(2257, 286, F2, 107) (dual of [286, 29, 108]-code), using 1 times code embedding in larger space based on linear OA(2256, 285, F2, 107) (dual of [285, 29, 108]-code), using
- construction X applied to Ce(110) ⊂ Ce(94) [i] based on
- linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [i]
- linear OA(2227, 256, F2, 95) (dual of [256, 29, 96]-code), using an extension Ce(94) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,94], and designed minimum distance d ≥ |I|+1 = 95 [i]
- linear OA(221, 29, F2, 11) (dual of [29, 8, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(221, 31, F2, 11) (dual of [31, 10, 12]-code), using
- code C1 for u = 5 by de Boer and Brouwer [i]
- discarding factors / shortening the dual code based on linear OA(221, 31, F2, 11) (dual of [31, 10, 12]-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(2257, 143, F2, 2, 107) (dual of [(143, 2), 29, 108]-NRT-code) | [i] | OOA Folding | |