Information on Result #2259178
Linear OA(2177, 8225, F2, 26) (dual of [8225, 8048, 27]-code), using 2 times code embedding in larger space based on linear OA(2175, 8223, F2, 26) (dual of [8223, 8048, 27]-code), using
- 1 times truncation [i] based on linear OA(2176, 8224, F2, 27) (dual of [8224, 8048, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- linear OA(2170, 8192, F2, 27) (dual of [8192, 8022, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2144, 8192, F2, 23) (dual of [8192, 8048, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, 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
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
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(2177, 1645, F2, 5, 26) (dual of [(1645, 5), 8048, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2177, 1175, F2, 7, 26) (dual of [(1175, 7), 8048, 27]-NRT-code) | [i] | ||