Information on Result #1832058
OOA(3274, 4196351, S32, 2, 13), 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(3259, 4194301, S32, 2, 13), using
- OOA 2-folding [i] based on OA(3259, 8388602, S32, 13), using
- discarding factors based on OA(3259, large, S32, 13), using
- discarding parts of the base [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- discarding factors based on OA(3259, large, S32, 13), using
- OOA 2-folding [i] based on OA(3259, 8388602, S32, 13), 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.