Information on Result #1831993
OOA(3256, 8388602, S32, 2, 9), using (u, u+v)-construction based on
- linear OOA(3216, 4194301, F32, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3216, 8388602, F32, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(3216, large, F32, 4) (dual of [large, large−16, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(3216, large, F32, 4) (dual of [large, large−16, 5]-code), using
- OOA 2-folding [i] based on linear OA(3216, 8388602, F32, 4) (dual of [8388602, 8388586, 5]-code), using
- OOA(3240, 4194301, S32, 2, 9), using
- OOA 2-folding [i] based on OA(3240, 8388602, S32, 9), using
- discarding factors based on OA(3240, large, S32, 9), using
- discarding parts of the base [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- discarding factors based on OA(3240, large, S32, 9), using
- OOA 2-folding [i] based on OA(3240, 8388602, S32, 9), 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(3258, large, S32, 2, 9) | [i] | NRT-Code Embedding in Larger Space | |