Information on Result #1832082
OOA(3284, 4210689, S32, 2, 14), using (u, u+v)-construction based on
- linear OOA(3220, 16388, F32, 2, 7) (dual of [(16388, 2), 32756, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3220, 32776, F32, 7) (dual of [32776, 32756, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(3219, 32769, F32, 7) (dual of [32769, 32750, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(3213, 32769, F32, 5) (dual of [32769, 32756, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- OOA 2-folding [i] based on linear OA(3220, 32776, F32, 7) (dual of [32776, 32756, 8]-code), using
- OOA(3264, 4194301, S32, 2, 14), using
- OOA 2-folding [i] based on OA(3264, 8388602, S32, 14), using
- discarding factors based on OA(3264, large, S32, 14), using
- discarding parts of the base [i] based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding parts of the base [i] based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- discarding factors based on OA(3264, large, S32, 14), using
- OOA 2-folding [i] based on OA(3264, 8388602, S32, 14), 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.