Information on Result #696575
Linear OA(32110, 1048585, F32, 28) (dual of [1048585, 1048475, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) based on
- linear OA(32109, 1048576, F32, 28) (dual of [1048576, 1048467, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(32101, 1048576, F32, 26) (dual of [1048576, 1048475, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 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 OOA(32110, 694985, F32, 2, 28) (dual of [(694985, 2), 1389860, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (82, 110, 694985)-net over F32 | [i] | ||
| 3 | Linear OOA(32110, 524292, F32, 2, 28) (dual of [(524292, 2), 1048474, 29]-NRT-code) | [i] | OOA Folding | |