Information on Result #1832173
OOA(32101, 4194816, S32, 2, 18), using (u, u+v)-construction based on
- linear OOA(3218, 515, F32, 2, 9) (dual of [(515, 2), 1012, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3218, 1030, F32, 9) (dual of [1030, 1012, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,3]) [i] based on
- linear OA(3217, 1025, F32, 9) (dual of [1025, 1008, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(3213, 1025, F32, 7) (dual of [1025, 1012, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 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([0,4]) ⊂ C([0,3]) [i] based on
- OOA 2-folding [i] based on linear OA(3218, 1030, F32, 9) (dual of [1030, 1012, 10]-code), using
- OOA(3283, 4194301, S32, 2, 18), using
- OOA 2-folding [i] based on OA(3283, 8388602, S32, 18), using
- discarding factors based on OA(3283, large, S32, 18), using
- discarding parts of the base [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding parts of the base [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- discarding factors based on OA(3283, large, S32, 18), using
- OOA 2-folding [i] based on OA(3283, 8388602, S32, 18), 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.