Information on Result #1832043
OOA(3275, 4718591, S32, 2, 12), using (u, u+v)-construction based on
- linear OOA(3221, 524290, F32, 2, 6) (dual of [(524290, 2), 1048559, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3221, 1048580, F32, 6) (dual of [1048580, 1048559, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- 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(3217, 1048576, F32, 5) (dual of [1048576, 1048559, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [i] based on
- OOA 2-folding [i] based on linear OA(3221, 1048580, F32, 6) (dual of [1048580, 1048559, 7]-code), using
- OOA(3254, 4194301, S32, 2, 12), using
- OOA 2-folding [i] based on OA(3254, 8388602, S32, 12), using
- discarding factors based on OA(3254, large, S32, 12), using
- discarding parts of the base [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding parts of the base [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- discarding factors based on OA(3254, large, S32, 12), using
- OOA 2-folding [i] based on OA(3254, 8388602, S32, 12), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(3275, 1572863, S32, 14, 12) | [i] | OOA Folding and Stacking with Additional Row | |