Information on Result #672777
Linear OA(2202, 8224, F2, 31) (dual of [8224, 8022, 32]-code), using construction X applied to Ce(30) ⊂ Ce(26) based on
- linear OA(2196, 8192, F2, 31) (dual of [8192, 7996, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- 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(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(2202, 8224, F2, 30) (dual of [8224, 8022, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2203, 8225, F2, 31) (dual of [8225, 8022, 32]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2204, 8226, F2, 31) (dual of [8226, 8022, 32]-code) | [i] | ||
| 4 | Linear OA(2205, 8227, F2, 31) (dual of [8227, 8022, 32]-code) | [i] | ||
| 5 | Linear OA(2206, 8228, F2, 31) (dual of [8228, 8022, 32]-code) | [i] | ||
| 6 | Linear OA(2207, 8229, F2, 31) (dual of [8229, 8022, 32]-code) | [i] | ||
| 7 | Linear OA(2201, 8223, F2, 30) (dual of [8223, 8022, 31]-code) | [i] | Truncation | |
| 8 | Linear OOA(2202, 4112, F2, 2, 31) (dual of [(4112, 2), 8022, 32]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2202, 2741, F2, 3, 31) (dual of [(2741, 3), 8021, 32]-NRT-code) | [i] | ||
| 10 | Linear OOA(2202, 2056, F2, 4, 31) (dual of [(2056, 4), 8022, 32]-NRT-code) | [i] | ||
| 11 | Linear OOA(2202, 1644, F2, 5, 31) (dual of [(1644, 5), 8018, 32]-NRT-code) | [i] | ||
| 12 | Linear OOA(2202, 1370, F2, 6, 31) (dual of [(1370, 6), 8018, 32]-NRT-code) | [i] | ||
| 13 | Linear OOA(2202, 1174, F2, 7, 31) (dual of [(1174, 7), 8016, 32]-NRT-code) | [i] | ||
| 14 | Linear OOA(2202, 1028, F2, 8, 31) (dual of [(1028, 8), 8022, 32]-NRT-code) | [i] | ||
| 15 | Linear OOA(2202, 548, F2, 31, 31) (dual of [(548, 31), 16786, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |