Information on Result #734468
Linear OA(3230, 1051716, F32, 7) (dual of [1051716, 1051686, 8]-code), using (u, u+v)-construction based on
- linear OA(325, 3136, F32, 3) (dual of [3136, 3131, 4]-code or 3136-cap in PG(4,32)), using
- linear OA(3225, 1048580, F32, 7) (dual of [1048580, 1048555, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(3225, 1048576, F32, 7) (dual of [1048576, 1048551, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(3221, 1048576, F32, 6) (dual of [1048576, 1048555, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [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(3230, 525858, F32, 2, 7) (dual of [(525858, 2), 1051686, 8]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3230, 350571, F32, 7, 7) (dual of [(350571, 7), 2453967, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |