Information on Result #1832038
OOA(3269, 4196351, S32, 2, 12), using (u, u+v)-construction based on
- OOA(3215, 2050, S32, 2, 6), using
- OOA 2-folding [i] based on OA(3215, 4100, S32, 6), using
- discarding factors based on OA(3215, 4101, S32, 6), using
- discarding parts of the base [i] based on linear OA(6412, 4101, F64, 6) (dual of [4101, 4089, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(6411, 4096, F64, 6) (dual of [4096, 4085, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(647, 4096, F64, 4) (dual of [4096, 4089, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- discarding parts of the base [i] based on linear OA(6412, 4101, F64, 6) (dual of [4101, 4089, 7]-code), using
- discarding factors based on OA(3215, 4101, S32, 6), using
- OOA 2-folding [i] based on OA(3215, 4100, S32, 6), 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
None.