Information on Result #1832193
OOA(32105, 4194814, S32, 2, 19), using (u, u+v)-construction based on
- linear OOA(3217, 513, F32, 2, 9) (dual of [(513, 2), 1009, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3217, 1026, F32, 9) (dual of [1026, 1009, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(3217, 1024, F32, 9) (dual of [1024, 1007, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(3215, 1024, F32, 8) (dual of [1024, 1009, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 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(8) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(3217, 1026, F32, 9) (dual of [1026, 1009, 10]-code), using
- OOA(3288, 4194301, S32, 2, 19), using
- OOA 2-folding [i] based on OA(3288, 8388602, S32, 19), using
- discarding factors based on OA(3288, large, S32, 19), using
- discarding parts of the base [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- discarding factors based on OA(3288, large, S32, 19), using
- OOA 2-folding [i] based on OA(3288, 8388602, S32, 19), 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.