Information on Result #687225
Linear OA(894, 4105, F8, 27) (dual of [4105, 4011, 28]-code), using construction X applied to Ce(26) ⊂ Ce(24) based on
- linear OA(893, 4096, F8, 27) (dual of [4096, 4003, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(895, 4106, F8, 27) (dual of [4106, 4011, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(894, 3312, F8, 2, 27) (dual of [(3312, 2), 6530, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(894, 3312, F8, 3, 27) (dual of [(3312, 3), 9842, 28]-NRT-code) | [i] | ||
| 4 | Digital (67, 94, 3312)-net over F8 | [i] | ||
| 5 | Linear OOA(894, 2052, F8, 2, 27) (dual of [(2052, 2), 4010, 28]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(894, 1368, F8, 3, 27) (dual of [(1368, 3), 4010, 28]-NRT-code) | [i] | ||