Information on Result #2224186
Linear OA(2123, 8223, F2, 18) (dual of [8223, 8100, 19]-code), using 1 times truncation based on linear OA(2124, 8224, F2, 19) (dual of [8224, 8100, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(2118, 8192, F2, 19) (dual of [8192, 8074, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(292, 8192, F2, 15) (dual of [8192, 8100, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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 OA(2125, 8225, F2, 18) (dual of [8225, 8100, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(2123, 4111, F2, 2, 18) (dual of [(4111, 2), 8099, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2123, 2741, F2, 3, 18) (dual of [(2741, 3), 8100, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(2123, 2055, F2, 4, 18) (dual of [(2055, 4), 8097, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(2123, 1644, F2, 5, 18) (dual of [(1644, 5), 8097, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(2123, 1370, F2, 6, 18) (dual of [(1370, 6), 8097, 19]-NRT-code) | [i] | ||
| 7 | Linear OOA(2123, 1174, F2, 7, 18) (dual of [(1174, 7), 8095, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(2123, 1027, F2, 8, 18) (dual of [(1027, 8), 8093, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(2123, 913, F2, 18, 18) (dual of [(913, 18), 16311, 19]-NRT-code) | [i] | OA Folding and Stacking | |